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22330101222 = 23411131756701
BaseRepresentation
bin10100110010111110…
…100100110111100110
32010122020000200020000
4110302332210313212
5331213001214342
614131443322130
71420234504632
oct246276446746
963566020200
1022330101222
11951983a610
1243b2380346
13214b35bb60
14111b94bdc2
158aa5d644c
hex532fa4de6

22330101222 has 160 divisors (see below), whose sum is σ = 62242465824. Its totient is φ = 5878656000.

The previous prime is 22330101203. The next prime is 22330101229. The reversal of 22330101222 is 22210103322.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22330101195 and 22330101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22330101229) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 365472 + ... + 422172.

Almost surely, 222330101222 is an apocalyptic number.

22330101222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22330101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31121232912).

22330101222 is an abundant number, since it is smaller than the sum of its proper divisors (39912364602).

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

22330101222 is a wasteful number, since it uses less digits than its factorization.

22330101222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56756 (or 56747 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22330101222 its reverse (22210103322), we get a palindrome (44540204544).

The spelling of 22330101222 in words is "twenty-two billion, three hundred thirty million, one hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 27 33 34 39 51 54 66 78 81 99 102 117 143 153 162 187 198 221 234 286 297 306 351 374 429 442 459 561 594 663 702 858 891 918 1053 1122 1287 1326 1377 1683 1782 1989 2106 2431 2574 2754 3366 3861 3978 4862 5049 5967 7293 7722 10098 11583 11934 14586 15147 17901 21879 23166 30294 35802 43758 56701 65637 113402 131274 170103 196911 340206 393822 510309 623711 737113 963917 1020618 1247422 1474226 1530927 1871133 1927834 2211339 2891751 3061854 3742266 4422678 4592781 5613399 5783502 6634017 8108243 8675253 9185562 10603087 11226798 12530921 13268034 16216486 16840197 17350506 19902051 21206174 24324729 25061842 26025759 31809261 33680394 37592763 39804102 48649458 50520591 52051518 59706153 63618522 72974187 75185526 78077277 95427783 101041182 112778289 119412306 137840131 145948374 156154554 190855566 218922561 225556578 275680262 286283349 338334867 413520393 437845122 572566698 656767683 676669734 827040786 858850047 1015004601 1240561179 1313535366 1717700094 2030009202 2481122358 3721683537 7443367074 11165050611 22330101222