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226630656 = 2103371171
BaseRepresentation
bin11011000001000…
…01110000000000
3120210110000211000
431200201300000
5431004140111
634253252000
75421220530
oct1540416000
9523400730
10226630656
11106a21a6a
1263a94000
1337c4c7a5
14221554c0
1514d69c56
hexd821c00

226630656 has 176 divisors, whose sum is σ = 767706880. Its totient is φ = 64696320.

The previous prime is 226630633. The next prime is 226630667. The reversal of 226630656 is 656036622.

It is a super-2 number, since 2×2266306562 = 102722908477980672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 226630656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192951 + ... + 194121.

Almost surely, 2226630656 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 226630656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383853440).

226630656 is an abundant number, since it is smaller than the sum of its proper divisors (541076224).

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

226630656 is a wasteful number, since it uses less digits than its factorization.

226630656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 226630656 is about 15054.2570723367. The cubic root of 226630656 is about 609.6859944405.

It can be divided in two parts, 2266 and 30656, that multiplied together give a palindrome (69466496).

The spelling of 226630656 in words is "two hundred twenty-six million, six hundred thirty thousand, six hundred fifty-six".