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22212310120 = 23571113554753
BaseRepresentation
bin10100101011111101…
…001111010001101000
32010100000101021012121
4110223331033101220
5330442322410440
614112034521024
71414304343430
oct245375172150
963300337177
1022212310120
1194692a73a0
12437aa36174
13212cb29490
14110a0492c0
158a00ba34a
hex52bf4f468

22212310120 has 128 divisors (see below), whose sum is σ = 67103043840. Its totient is φ = 6390743040.

The previous prime is 22212310117. The next prime is 22212310129. The reversal of 22212310120 is 2101321222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22212310094 and 22212310103.

It is not an unprimeable number, because it can be changed into a prime (22212310129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237337 + ... + 317416.

It is an arithmetic number, because the mean of its divisors is an integer number (524242530).

Almost surely, 222212310120 is an apocalyptic number.

22212310120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22212310120 is an abundant number, since it is smaller than the sum of its proper divisors (44890733720).

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

22212310120 is a wasteful number, since it uses less digits than its factorization.

22212310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554795 (or 554791 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22212310120 its reverse (2101321222), we get a palindrome (24313631342).

The spelling of 22212310120 in words is "twenty-two billion, two hundred twelve million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 554753 1109506 2219012 2773765 3883271 4438024 5547530 6102283 7211789 7766542 11095060 12204566 14423578 15533084 19416355 22190120 24409132 28847156 30511415 31066168 36058945 38832710 42715981 48818264 50482523 57694312 61022830 72117890 77665420 79329679 85431962 100965046 122045660 144235780 155330840 158659358 170863924 201930092 213579905 244091320 252412615 288471560 317318716 341727848 396648395 403860184 427159810 504825230 555307753 634637432 793296790 854319620 1009650460 1110615506 1586593580 1708639240 2019300920 2221231012 2776538765 3173187160 4442462024 5553077530 11106155060 22212310120