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226433582448 = 24334491367749
BaseRepresentation
bin1101001011100001111…
…1100100010101110000
3210122110112201210201120
43102320133210111300
512202213444114243
6252004441302240
722234143460023
oct3227037442560
9718415653646
10226433582448
1188036943a07
1237a74194980
1318477861918
14ad609dd1ba
155d53e21c83
hex34b87e4570

226433582448 has 40 divisors (see below), whose sum is σ = 585123450000. Its totient is φ = 75455921664.

The previous prime is 226433582447. The next prime is 226433582489. The reversal of 226433582448 is 844285334622.

226433582448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 226433582448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226433582447) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 518323 + ... + 849426.

It is an arithmetic number, because the mean of its divisors is an integer number (14628086250).

Almost surely, 2226433582448 is an apocalyptic number.

It is an amenable number.

226433582448 is an abundant number, since it is smaller than the sum of its proper divisors (358689867552).

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

226433582448 is a wasteful number, since it uses less digits than its factorization.

226433582448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371209 (or 1371203 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 51.

The spelling of 226433582448 in words is "two hundred twenty-six billion, four hundred thirty-three million, five hundred eighty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 3449 6898 10347 13796 20694 27592 41388 55184 82776 165552 1367749 2735498 4103247 5470996 8206494 10941992 16412988 21883984 32825976 65651952 4717366301 9434732602 14152098903 18869465204 28304197806 37738930408 56608395612 75477860816 113216791224 226433582448