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226232880 = 2435942637
BaseRepresentation
bin11010111110000…
…00101000110000
3120202200211011120
431133000220300
5430403423010
634240542240
75414643036
oct1537005060
9522624146
10226232880
11106780125
1263921980
1337b40713
1422090556
1514cdbe70
hexd7c0a30

226232880 has 40 divisors (see below), whose sum is σ = 701322672. Its totient is φ = 60328704.

The previous prime is 226232869. The next prime is 226232891. The reversal of 226232880 is 88232622.

226232880 = T405 + T406 + ... + T1124.

226232880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226232869) and next prime (226232891).

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471079 + ... + 471558.

Almost surely, 2226232880 is an apocalyptic number.

226232880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226232880 is an abundant number, since it is smaller than the sum of its proper divisors (475089792).

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

226232880 is a wasteful number, since it uses less digits than its factorization.

226232880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942653 (or 942647 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 226232880 is about 15041.0398576694. The cubic root of 226232880 is about 609.3290840880.

The spelling of 226232880 in words is "two hundred twenty-six million, two hundred thirty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 942637 1885274 2827911 3770548 4713185 5655822 7541096 9426370 11311644 14139555 15082192 18852740 22623288 28279110 37705480 45246576 56558220 75410960 113116440 226232880