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221465323564122 = 231121613189118819
BaseRepresentation
bin110010010110101111101001…
…111100001110110001011010
31002001010212201011220020112210
4302112233221330032301122
5213011441440313022442
62103003433133015550
764435225113203331
oct6226575174166132
91061125634806483
10221465323564122
1164624a09621200
1220a095689245b6
1396761237c3ab1
143c98d9bd8ad18
151a90c4bd5519c
hexc96be9f0ec5a

221465323564122 has 48 divisors (see below), whose sum is σ = 487159489666080. Its totient is φ = 67069097615520.

The previous prime is 221465323564097. The next prime is 221465323564139.

221465323564122 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2214653235641222 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93388372 + ... + 95730447.

It is an arithmetic number, because the mean of its divisors is an integer number (10149156034710).

Almost surely, 2221465323564122 is an apocalyptic number.

221465323564122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221465323564122 is an abundant number, since it is smaller than the sum of its proper divisors (265694166101958).

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

221465323564122 is a wasteful number, since it uses less digits than its factorization.

221465323564122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189120459 (or 189120448 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 48.

The spelling of 221465323564122 in words is "two hundred twenty-one trillion, four hundred sixty-five billion, three hundred twenty-three million, five hundred sixty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1613 3226 4839 9678 17743 35486 53229 106458 195173 390346 585519 1171038 189118819 378237638 567356457 1134712914 2080307009 4160614018 6240921027 12481842054 22883377099 45766754198 68650131297 137300262594 305048655047 610097310094 915145965141 1830291930282 3355535205517 6711070411034 10066605616551 20133211233102 36910887260687 73821774521374 110732661782061 221465323564122