Search a number
-
+
22221120222210 = 23571314995430023
BaseRepresentation
bin1010000110101110000011…
…11110100011010000000010
32220200022121002000111100110
411003113001332203100002
510403032323234102320
6115132124112532150
74452265034266560
oct503270176432002
986608532014313
1022221120222210
117097a19075618
1225aa728251056
13c5259a653180
1456b717b98a30
152880505815e0
hex1435c1fa3402

22221120222210 has 128 divisors (see below), whose sum is σ = 65681570304000. Its totient is φ = 4685283622656.

The previous prime is 22221120222199. The next prime is 22221120222271. The reversal of 22221120222210 is 1222202112222.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1377259 + ... + 6807281.

It is an arithmetic number, because the mean of its divisors is an integer number (513137268000).

Almost surely, 222221120222210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22221120222210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32840785152000).

22221120222210 is an abundant number, since it is smaller than the sum of its proper divisors (43460450081790).

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

22221120222210 is a wasteful number, since it uses less digits than its factorization.

22221120222210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5431552.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 22221120222210 its reverse (1222202112222), we get a palindrome (23443322334432).

The spelling of 22221120222210 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred twenty million, two hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 1499 2730 2998 4497 7495 8994 10493 14990 19487 20986 22485 31479 38974 44970 52465 58461 62958 97435 104930 116922 136409 157395 194870 272818 292305 314790 409227 584610 682045 818454 1364090 2046135 4092270 5430023 10860046 16290069 27150115 32580138 38010161 54300230 70590299 76020322 81450345 114030483 141180598 162900690 190050805 211770897 228060966 352951495 380101610 423541794 494132093 570152415 705902990 988264186 1058854485 1140304830 1482396279 2117708970 2470660465 2964792558 4941320930 7411981395 8139604477 14823962790 16279208954 24418813431 40698022385 48837626862 56977231339 81396044770 105814858201 113954462678 122094067155 170931694017 211629716402 244188134310 284886156695 317444574603 341863388034 529074291005 569772313390 634889149206 740704007407 854658470085 1058148582010 1481408014814 1587222873015 1709316940170 2222112022221 3174445746030 3703520037035 4444224044442 7407040074070 11110560111105 22221120222210