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422623326224 = 241118133739367
BaseRepresentation
bin1100010011001100101…
…00000011000000010000
31111101212100100102022002
412021212110003000100
523411013032414344
6522052300333132
742351000000221
oct6114624030020
91441770312262
10422623326224
11153262939220
1269aa78441a8
1330b126652c8
1416652a3d248
15aed7b0144e
hex6266503010

422623326224 has 80 divisors (see below), whose sum is σ = 900895422336. Its totient is φ = 190468454400.

The previous prime is 422623326199. The next prime is 422623326241.

422623326224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4226233262242 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10715789 + ... + 10755155.

Almost surely, 2422623326224 is an apocalyptic number.

422623326224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422623326224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450447711168).

422623326224 is an abundant number, since it is smaller than the sum of its proper divisors (478272096112).

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

422623326224 is a wasteful number, since it uses less digits than its factorization.

422623326224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39904 (or 39898 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 422623 and 326224, that added together give a palindrome (748847).

The spelling of 422623326224 in words is "four hundred twenty-two billion, six hundred twenty-three million, three hundred twenty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 181 337 362 674 724 1348 1448 1991 2696 2896 3707 3982 5392 7414 7964 14828 15928 29656 31856 39367 59312 60997 78734 121994 157468 243988 314936 433037 487976 629872 670967 866074 975952 1341934 1732148 2683868 3464296 5367736 6928592 7125427 10735472 13266679 14250854 26533358 28501708 53066716 57003416 78379697 106133432 114006832 145933469 156759394 212266864 291866938 313518788 583733876 627037576 1167467752 1254075152 2334935504 2401268899 4802537798 9605075596 19210151192 26413957889 38420302384 52827915778 105655831556 211311663112 422623326224