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238194922050 = 2345276692
BaseRepresentation
bin1101110111010110000…
…1100001001001000010
3211202211012202202120000
43131311201201021002
512400310400001200
6301231503500430
723131456300611
oct3356541411102
9752735682500
10238194922050
1192021907488
123a1b6bb7716
1319600424277
14b758a53878
1562e174d300
hex3775861242

238194922050 has 90 divisors (see below), whose sum is σ = 661915312443. Its totient is φ = 63510363360.

The previous prime is 238194922027. The next prime is 238194922061. The reversal of 238194922050 is 50229491832.

238194922050 is a `hidden beast` number, since 2 + 381 + 9 + 49 + 220 + 5 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 206922182769 + 31272739281 = 454887^2 + 176841^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=345105.

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

It is a junction number, because it is equal to n+sod(n) for n = 238194921987 and 238194922005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 31055616 + ... + 31063284.

Almost surely, 2238194922050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238194922050

238194922050 is an abundant number, since it is smaller than the sum of its proper divisors (423720390393).

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

238194922050 is an frugal number, since it uses more digits than its factorization.

238194922050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15362 (or 7679 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 238194922050 in words is "two hundred thirty-eight billion, one hundred ninety-four million, nine hundred twenty-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 4050 7669 15338 23007 38345 46014 69021 76690 115035 138042 191725 207063 230070 345105 383450 414126 575175 621189 690210 1035315 1150350 1242378 1725525 2070630 3105945 3451050 5176575 6211890 10353150 15529725 31059450 58813561 117627122 176440683 294067805 352881366 529322049 588135610 882203415 1058644098 1470339025 1587966147 1764406830 2646610245 2940678050 3175932294 4411017075 4763898441 5293220490 7939830735 8822034150 9527796882 13233051225 15879661470 23819492205 26466102450 39699153675 47638984410 79398307350 119097461025 238194922050