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24972228 = 22324714759
BaseRepresentation
bin101111101000…
…0101111000100
31201222201110100
41133100233010
522343102403
62251124100
7422155221
oct137205704
951881410
1024972228
1113107006
128443630
135234688
143460948
1522d42a3
hex17d0bc4

24972228 has 36 divisors (see below), whose sum is σ = 64471680. Its totient is φ = 8146416.

The previous prime is 24972197. The next prime is 24972253. The reversal of 24972228 is 82227942.

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 2×249722282 = 1247224342567968, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 24972192 and 24972201.

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, 5688 + ... + 9071.

It is an arithmetic number, because the mean of its divisors is an integer number (1790880).

Almost surely, 224972228 is an apocalyptic number.

It is an amenable number.

24972228 is an abundant number, since it is smaller than the sum of its proper divisors (39499452).

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

24972228 is a wasteful number, since it uses less digits than its factorization.

24972228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14816 (or 14811 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 24972228 is about 4997.2220282873. Note that the first 3 decimals coincide. The cubic root of 24972228 is about 292.2934592757.

It can be divided in two parts, 24972 and 228, that added together give a triangular number (25200 = T224).

The spelling of 24972228 in words is "twenty-four million, nine hundred seventy-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 14759 29518 44277 59036 88554 132831 177108 265662 531324 693673 1387346 2081019 2774692 4162038 6243057 8324076 12486114 24972228