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226115277696 = 273272111731691
BaseRepresentation
bin1101001010010110000…
…1010101001110000000
3210121122100210020200200
43102211201111032000
512201041002341241
6251513111045200
722223230101600
oct3224541251600
9717570706620
10226115277696
11879931a7930
12379a5670800
1318426925209
14ad30622c00
155d35ee94b6
hex34a5855380

226115277696 has 1152 divisors, whose sum is σ = 903791416320. Its totient is φ = 53415936000.

The previous prime is 226115277683. The next prime is 226115277709. The reversal of 226115277696 is 696772511622.

It is a happy number.

226115277696 is a `hidden beast` number, since 2 + 26 + 1 + 1 + 527 + 7 + 6 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (226115277683) and next prime (226115277709).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2261152776962 (a number of 24 digits) contains 22 as substring.

Its product of digits (3810240) is a multiple of the sum of its prime factors (784).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 327228711 + ... + 327229401.

It is an arithmetic number, because the mean of its divisors is an integer number (784541160).

Almost surely, 2226115277696 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 226115277696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451895708160).

226115277696 is an abundant number, since it is smaller than the sum of its proper divisors (677676138624).

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

226115277696 is a wasteful number, since it uses less digits than its factorization.

226115277696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 762 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 226115277696 in words is "two hundred twenty-six billion, one hundred fifteen million, two hundred seventy-seven thousand, six hundred ninety-six".