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22263460506 = 23271036732549
BaseRepresentation
bin10100101111000000…
…010111001010011010
32010110120121222100100
4110233000113022122
5331043421214011
614121103120230
71415465202060
oct245700271232
963416558310
1022263460506
119495163441
124393ba3076
13213a5c8391
141112b62030
158a4820d56
hex52f01729a

22263460506 has 96 divisors (see below), whose sum is σ = 55768377600. Its totient is φ = 6287404032.

The previous prime is 22263460481. The next prime is 22263460511. The reversal of 22263460506 is 60506436222.

22263460506 is a `hidden beast` number, since 22 + 26 + 3 + 4 + 605 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8732920 + ... + 8735468.

It is an arithmetic number, because the mean of its divisors is an integer number (580920600).

Almost surely, 222263460506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22263460506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27884188800).

22263460506 is an abundant number, since it is smaller than the sum of its proper divisors (33504917094).

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

22263460506 is a wasteful number, since it uses less digits than its factorization.

22263460506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3340 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 22263460506 its reverse (60506436222), we get a palindrome (82769896728).

The spelling of 22263460506 in words is "twenty-two billion, two hundred sixty-three million, four hundred sixty thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 103 126 206 309 618 673 721 927 1346 1442 1854 2019 2163 2549 4038 4326 4711 5098 6057 6489 7647 9422 12114 12978 14133 15294 17843 22941 28266 35686 42399 45882 53529 69319 84798 107058 138638 160587 207957 262547 321174 415914 485233 525094 623871 787641 970466 1247742 1455699 1575282 1715477 1837829 2362923 2911398 3430954 3675658 4367097 4725846 5146431 5513487 8734194 10292862 11026974 12008339 15439293 16540461 24016678 30878586 33080922 36025017 72050034 108075051 176694131 216150102 353388262 530082393 1060164786 1236858917 1590247179 2473717834 3180494358 3710576751 7421153502 11131730253 22263460506