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226676736 = 21232111343
BaseRepresentation
bin11011000001011…
…01000000000000
3120210112101000200
431200231000000
5431012123421
634254245200
75421502056
oct1540550000
9523471020
10226676736
11106a53650
1263ab6800
1337c67760
14221681d6
1514d78726
hexd82d000

226676736 has 312 divisors, whose sum is σ = 787122336. Its totient is φ = 61931520.

The previous prime is 226676729. The next prime is 226676771. The reversal of 226676736 is 637676622.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×2266767362 = 102764685287227392, which contains 22 as substring.

Its product of digits (762048) is a multiple of the sum of its prime divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 226676691 and 226676700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5271531 + ... + 5271573.

It is an arithmetic number, because the mean of its divisors is an integer number (2522828).

Almost surely, 2226676736 is an apocalyptic number.

226676736 is a gapful number since it is divisible by the number (26) 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 226676736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393561168).

226676736 is an abundant number, since it is smaller than the sum of its proper divisors (560445600).

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

226676736 is a wasteful number, since it uses less digits than its factorization.

226676736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 226676736 is about 15055.7874586486. The cubic root of 226676736 is about 609.7273133971.

It can be divided in two parts, 22667 and 6736, that added together give a triangular number (29403 = T242).

The spelling of 226676736 in words is "two hundred twenty-six million, six hundred seventy-six thousand, seven hundred thirty-six".