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228438252 = 22337302167
BaseRepresentation
bin11011001110110…
…11000011101100
3120220211212101000
431213123003230
5431440011002
634400120300
75442456510
oct1547330354
9526755330
10228438252
11107a47049
1264606090
1338433483
14224a6140
15150c561c
hexd9db0ec

228438252 has 48 divisors (see below), whose sum is σ = 676856320. Its totient is φ = 65267856.

The previous prime is 228438251. The next prime is 228438253. The reversal of 228438252 is 252834822.

228438252 is a `hidden beast` number, since 228 + 4 + 382 + 52 = 666.

228438252 is nontrivially palindromic in base 13.

228438252 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 (228438251) and next prime (228438253).

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

It is not an unprimeable number, because it can be changed into a prime (228438251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150328 + ... + 151839.

Almost surely, 2228438252 is an apocalyptic number.

It is an amenable number.

228438252 is an abundant number, since it is smaller than the sum of its proper divisors (448418068).

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

228438252 is a wasteful number, since it uses less digits than its factorization.

228438252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302187 (or 302179 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 228438252 is about 15114.1738775230. The cubic root of 228438252 is about 611.3026466755.

The spelling of 228438252 in words is "two hundred twenty-eight million, four hundred thirty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 302167 604334 906501 1208668 1813002 2115169 2719503 3626004 4230338 5439006 6345507 8158509 8460676 10878012 12691014 16317018 19036521 25382028 32634036 38073042 57109563 76146084 114219126 228438252