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22246611468 = 223173131311239
BaseRepresentation
bin10100101110000000…
…000101101000001100
32010102101220221210220
4110232000011220030
5331030113031333
614115302031340
71415202035364
oct245600055014
963371827726
1022246611468
1194866a5514
12438a418550
132136c79233
1411108179a4
158a30e38b3
hex52e005a0c

22246611468 has 96 divisors (see below), whose sum is σ = 56921518080. Its totient is φ = 6732011520.

The previous prime is 22246611467. The next prime is 22246611469. The reversal of 22246611468 is 86411664222.

It is an interprime number because it is at equal distance from previous prime (22246611467) and next prime (22246611469).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (22246611461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1973793 + ... + 1985031.

It is an arithmetic number, because the mean of its divisors is an integer number (592932480).

Almost surely, 222246611468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22246611468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28460759040).

22246611468 is an abundant number, since it is smaller than the sum of its proper divisors (34674906612).

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

22246611468 is a wasteful number, since it uses less digits than its factorization.

22246611468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11607 (or 11605 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The spelling of 22246611468 in words is "twenty-two billion, two hundred forty-six million, six hundred eleven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 313 372 527 626 939 1054 1252 1581 1878 2108 3162 3756 5321 6324 9703 10642 11239 15963 19406 21284 22478 29109 31926 33717 38812 44956 58218 63852 67434 116436 134868 164951 191063 329902 348409 382126 494853 573189 659804 696818 764252 989706 1045227 1146378 1393636 1979412 2090454 2292756 3517807 4180908 5922953 7035614 10553421 11845906 14071228 17768859 21106842 23691812 35537718 42213684 59802719 71075436 109052017 119605438 179408157 218104034 239210876 327156051 358816314 436208068 654312102 717632628 1308624204 1853884289 3707768578 5561652867 7415537156 11123305734 22246611468