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226931040 = 25325747479
BaseRepresentation
bin11011000011010…
…11000101100000
3120211000021212100
431201223011200
5431043243130
634303530400
75423611350
oct1541530540
9524007770
10226931040
11107107716
1263bb9a00
133802642b
14221d2b60
1514dc8c60
hexd86b160

226931040 has 288 divisors, whose sum is σ = 905748480. Its totient is φ = 50660352.

The previous prime is 226931021. The next prime is 226931053. The reversal of 226931040 is 40139622.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 226930995 and 226931013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473521 + ... + 473999.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2226931040 is an apocalyptic number.

226931040 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 226931040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452874240).

226931040 is an abundant number, since it is smaller than the sum of its proper divisors (678817440).

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

226931040 is a wasteful number, since it uses less digits than its factorization.

226931040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 226931040 is about 15064.2304815082. The cubic root of 226931040 is about 609.9552417218.

The spelling of 226931040 in words is "two hundred twenty-six million, nine hundred thirty-one thousand, forty".