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226457053420 = 2251379107167617
BaseRepresentation
bin1101001011100111100…
…1000110100011101100
3210122112011220020211211
43102321321012203230
512202241001202140
6252011040324204
722234550123353
oct3227171064354
9718464806754
10226457053420
1188049115004
1237a80013664
131847c68bb80
14ad63b8c99a
155d5600b2ea
hex34b9e468ec

226457053420 has 192 divisors, whose sum is σ = 527459143680. Its totient is φ = 81163450368.

The previous prime is 226457053399. The next prime is 226457053421. The reversal of 226457053420 is 24350754622.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (226457053421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 367028952 + ... + 367029568.

It is an arithmetic number, because the mean of its divisors is an integer number (2747183040).

Almost surely, 2226457053420 is an apocalyptic number.

226457053420 is a gapful number since it is divisible by the number (20) 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 226457053420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263729571840).

226457053420 is an abundant number, since it is smaller than the sum of its proper divisors (301002090260).

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

226457053420 is a wasteful number, since it uses less digits than its factorization.

226457053420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 40.

The spelling of 226457053420 in words is "two hundred twenty-six billion, four hundred fifty-seven million, fifty-three thousand, four hundred twenty".