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226298569140 = 2232571391637927
BaseRepresentation
bin1101001011000001110…
…0100010000110110100
3210122010010200102021200
43102300130202012310
512201424413203030
6251543215412500
722230614046150
oct3226034420664
9718103612250
10226298569140
1187a77708466
1237a36b24130
13184558ac2a7
14ad4aad6060
155d47152d60
hex34b07221b4

226298569140 has 288 divisors, whose sum is σ = 795093411840. Its totient is φ = 51031772928.

The previous prime is 226298569117. The next prime is 226298569151. The reversal of 226298569140 is 41965892622.

226298569140 is a `hidden beast` number, since 2 + 2 + 62 + 9 + 8 + 569 + 14 + 0 = 666.

It is a super-2 number, since 2×2262985691402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28543857 + ... + 28551783.

Almost surely, 2226298569140 is an apocalyptic number.

226298569140 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 226298569140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397546705920).

226298569140 is an abundant number, since it is smaller than the sum of its proper divisors (568794842700).

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

226298569140 is a wasteful number, since it uses less digits than its factorization.

226298569140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8251 (or 8246 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 226298569140 in words is "two hundred twenty-six billion, two hundred ninety-eight million, five hundred sixty-nine thousand, one hundred forty".