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222112974072 = 233116735335573
BaseRepresentation
bin1100111011011011110…
…1110000010011111000
3210020022102202011021010
43032312331300103320
512114341410132242
6250012015513520
722022111062113
oct3166675602370
9706272664233
10222112974072
1186219a8a990
12370692288a0
1317c396a8112
14aa70c6d57a
155b9e96b89c
hex33b6f704f8

222112974072 has 128 divisors (see below), whose sum is σ = 616562876160. Its totient is φ = 66112696320.

The previous prime is 222112974047. The next prime is 222112974101. The reversal of 222112974072 is 270479211222.

It is a super-2 number, since 2×2221129740722 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 222112974072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6226078 + ... + 6261650.

It is an arithmetic number, because the mean of its divisors is an integer number (4816897470).

Almost surely, 2222112974072 is an apocalyptic number.

222112974072 is a gapful number since it is divisible by the number (22) 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 222112974072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308281438080).

222112974072 is an abundant number, since it is smaller than the sum of its proper divisors (394449902088).

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

222112974072 is a wasteful number, since it uses less digits than its factorization.

222112974072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36013 (or 36009 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 222112974072 in words is "two hundred twenty-two billion, one hundred twelve million, nine hundred seventy-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 353 402 536 706 737 804 1059 1412 1474 1608 2118 2211 2824 2948 3883 4236 4422 5896 7766 8472 8844 11649 15532 17688 23298 23651 31064 35573 46596 47302 70953 71146 93192 94604 106719 141906 142292 189208 213438 260161 283812 284584 391303 426876 520322 567624 780483 782606 853752 1040644 1173909 1560966 1565212 2081288 2347818 2383391 3121932 3130424 4695636 4766782 6243864 7150173 9391272 9533564 12557269 14300346 19067128 25114538 26217301 28600692 37671807 50229076 52434602 57201384 75343614 78651903 100458152 104869204 138129959 150687228 157303806 209738408 276259918 301374456 314607612 414389877 552519836 629215224 828779754 841337023 1105039672 1657559508 1682674046 2524011069 3315119016 3365348092 5048022138 6730696184 9254707253 10096044276 18509414506 20192088552 27764121759 37018829012 55528243518 74037658024 111056487036 222112974072