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238707135022500 = 2232541030012
BaseRepresentation
bin110110010001101001010101…
…111111010000010110100100
31011022012011211200000022111100
4312101221111333100112210
5222241434203031210000
62203404313254240100
7101165010222365544
oct6621512577202644
91138164750008440
10238707135022500
116a072144702241
1222933060656030
13a326ca8a1ba01
1442d36b63bb324
151c8e4c1471a00
hexd91a55fd05a4

238707135022500 has 135 divisors (see below), whose sum is σ = 754014200152213. Its totient is φ = 63654618000000.

The previous prime is 238707135022483. The next prime is 238707135022519. The reversal of 238707135022500 is 5220531707832.

The square root of 238707135022500 is 15450150.

It is a perfect power (a square), and thus also a powerful number.

238707135022500 is a `hidden beast` number, since 2 + 3 + 8 + 7 + 0 + 7 + 135 + 0 + 2 + 2 + 500 = 666.

238707135022500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 237888732544164 + 818402478336 = 15423642^2 + 904656^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2317471000 + ... + 2317574000.

Almost surely, 2238707135022500 is an apocalyptic number.

238707135022500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

238707135022500 is the 15450150-th square number.

It is an amenable number.

238707135022500 is an abundant number, since it is smaller than the sum of its proper divisors (515307065129713).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

238707135022500 is an frugal number, since it uses more digits than its factorization.

238707135022500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206032 (or 103011 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 238707135022500 in words is "two hundred thirty-eight trillion, seven hundred seven billion, one hundred thirty-five million, twenty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1500 1875 2250 2500 3750 4500 5625 7500 11250 22500 103001 206002 309003 412004 515005 618006 927009 1030010 1236012 1545015 1854018 2060020 2575025 3090030 3708036 4635045 5150050 6180060 7725075 9270090 10300100 12875125 15450150 18540180 23175225 25750250 30900300 38625375 46350450 51500500 64375625 77250750 92700900 115876125 128751250 154501500 193126875 231752250 257502500 386253750 463504500 579380625 772507500 1158761250 2317522500 10609206001 21218412002 31827618003 42436824004 53046030005 63655236006 95482854009 106092060010 127310472012 159138090015 190965708018 212184120020 265230150025 318276180030 381931416036 477414270045 530460300050 636552360060 795690450075 954828540090 1060920600100 1326150750125 1591380900150 1909657080180 2387071350225 2652301500250 3182761800300 3978452250375 4774142700450 5304603000500 6630753750625 7956904500750 9548285400900 11935356751125 13261507501250 15913809001500 19892261251875 23870713502250 26523015002500 39784522503750 47741427004500 59676783755625 79569045007500 119353567511250 238707135022500