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223240012100 = 22527538372497
BaseRepresentation
bin1100111111101000100…
…1000100000101000100
3210100012222110121210022
43033322021010011010
512124143420341400
6250315520114312
722062044536220
oct3177211040504
9710188417708
10223240012100
1186748192276
1237322765998
1318089034821
14ab3a809780
155c18893b85
hex33fa244144

223240012100 has 144 divisors (see below), whose sum is σ = 570885211008. Its totient is φ = 74189506560.

The previous prime is 223240012091. The next prime is 223240012129. The reversal of 223240012100 is 1210042322.

It is a super-3 number, since 3×2232400121003 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3043052 + ... + 3115548.

It is an arithmetic number, because the mean of its divisors is an integer number (3964480632).

Almost surely, 2223240012100 is an apocalyptic number.

223240012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223240012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285442605504).

223240012100 is an abundant number, since it is smaller than the sum of its proper divisors (347645198908).

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

223240012100 is a wasteful number, since it uses less digits than its factorization.

223240012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72654 (or 72647 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 223240012100 its reverse (1210042322), we get a palindrome (224450054422).

The spelling of 223240012100 in words is "two hundred twenty-three billion, two hundred forty million, twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 53 70 83 100 106 140 166 175 212 265 332 350 371 415 530 581 700 742 830 1060 1162 1325 1484 1660 1855 2075 2324 2650 2905 3710 4150 4399 5300 5810 7420 8300 8798 9275 11620 14525 17596 18550 21995 29050 30793 37100 43990 58100 61586 72497 87980 109975 123172 144994 153965 219950 289988 307930 362485 439900 507479 615860 724970 769825 1014958 1449940 1539650 1812425 2029916 2537395 3079300 3624850 3842341 5074790 6017251 7249700 7684682 10149580 12034502 12686975 15369364 19211705 24069004 25373950 26896387 30086255 38423410 42120757 50747900 53792774 60172510 76846820 84241514 96058525 107585548 120345020 134481935 150431275 168483028 192117050 210603785 268963870 300862550 318914303 384234100 421207570 537927740 601725100 637828606 672409675 842415140 1053018925 1275657212 1344819350 1594571515 2106037850 2232400121 2689638700 3189143030 4212075700 4464800242 6378286060 7972857575 8929600484 11162000605 15945715150 22324001210 31891430300 44648002420 55810003025 111620006050 223240012100