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226456550292 = 223719791914891
BaseRepresentation
bin1101001011100111011…
…1001011101110010100
3210122112010221200200110
43102321313023232110
512202240334102132
6252011021443020
722234542626460
oct3227167135624
9718463850613
10226456550292
1188048900aa5
1237a7ba10470
131847c543b6b
14ad63a9b4a0
155d55e5c1cc
hex34b9dcbb94

226456550292 has 96 divisors (see below), whose sum is σ = 607650785280. Its totient is φ = 64299070080.

The previous prime is 226456550251. The next prime is 226456550297. The reversal of 226456550292 is 292055654622.

226456550292 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226456550297) 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, 15200167 + ... + 15215057.

It is an arithmetic number, because the mean of its divisors is an integer number (6329695680).

Almost surely, 2226456550292 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 226456550292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303825392640).

226456550292 is an abundant number, since it is smaller than the sum of its proper divisors (381194234988).

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

226456550292 is a wasteful number, since it uses less digits than its factorization.

226456550292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16021 (or 16019 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 226456550292 in words is "two hundred twenty-six billion, four hundred fifty-six million, five hundred fifty thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 197 394 591 788 919 1182 1379 1838 2364 2757 2758 3676 4137 5514 5516 6433 8274 11028 12866 14891 16548 19299 25732 29782 38598 44673 59564 77196 89346 104237 178692 181043 208474 312711 362086 416948 543129 625422 724172 1086258 1250844 1267301 2172516 2534602 2933527 3801903 5069204 5867054 7603806 8800581 11734108 13684829 15207612 17601162 20534689 27369658 35202324 41054487 41069378 54739316 61604067 82108974 82138756 95793803 123208134 164217948 191587606 246416268 287381409 383175212 574762818 1149525636 2695911313 5391822626 8087733939 10783645252 16175467878 18871379191 32350935756 37742758382 56614137573 75485516764 113228275146 226456550292