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228133980 = 223251267411
BaseRepresentation
bin11011001100100…
…00110001011100
3120220021101222200
431212100301130
5431400241410
634345411500
75440051434
oct1546206134
9526241880
10228133980
11107859488
1264499b90
1338357b29
14224272c4
15150653c0
hexd990c5c

228133980 has 36 divisors (see below), whose sum is σ = 692006952. Its totient is φ = 60835680.

The previous prime is 228133973. The next prime is 228134021. The reversal of 228133980 is 89331822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2281339802 = 104090225661280800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 633526 + ... + 633885.

Almost surely, 2228133980 is an apocalyptic number.

228133980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228133980 is an abundant number, since it is smaller than the sum of its proper divisors (463872972).

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

228133980 is a wasteful number, since it uses less digits than its factorization.

228133980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267426 (or 1267421 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 228133980 is about 15104.1047401029. The cubic root of 228133980 is about 611.0311146220.

The spelling of 228133980 in words is "two hundred twenty-eight million, one hundred thirty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1267411 2534822 3802233 5069644 6337055 7604466 11406699 12674110 15208932 19011165 22813398 25348220 38022330 45626796 57033495 76044660 114066990 228133980