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226837397556 = 2232721128911941
BaseRepresentation
bin1101001101000010010…
…0000000000000110100
3210200111200120201220200
43103100210000000310
512204030333210211
6252112504400500
722250146031400
oct3232044000064
9720450521820
10226837397556
1188223885200
1237b67476130
131851040a883
14ad9c4b8100
155d795dab56
hex34d0900034

226837397556 has 324 divisors, whose sum is σ = 741459553380. Its totient is φ = 58251916800.

The previous prime is 226837397483. The next prime is 226837397599. The reversal of 226837397556 is 655793738622.

It is a happy number.

226837397556 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 3 + 73 + 9 + 7 + 556 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51247904400 + 175589493156 = 226380^2 + 419034^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 226837397493 and 226837397502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18990546 + ... + 19002486.

Almost surely, 2226837397556 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 226837397556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370729776690).

226837397556 is an abundant number, since it is smaller than the sum of its proper divisors (514622155824).

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

226837397556 is a wasteful number, since it uses less digits than its factorization.

226837397556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12076 (or 12053 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 63.

The spelling of 226837397556 in words is "two hundred twenty-six billion, eight hundred thirty-seven million, three hundred ninety-seven thousand, five hundred fifty-six".