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232416420 = 22357949033
BaseRepresentation
bin11011101101001…
…10010010100100
3121012022222101120
431312212102210
5433444311140
635021253540
75521335615
oct1566462244
9535288346
10232416420
1110a213995
1265a042b0
13391c7112
1422c1dc0c
151560e1d0
hexdda64a4

232416420 has 48 divisors (see below), whose sum is σ = 659016960. Its totient is φ = 61191936.

The previous prime is 232416409. The next prime is 232416433. The reversal of 232416420 is 24614232.

232416420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19777 + ... + 29256.

It is an arithmetic number, because the mean of its divisors is an integer number (13729520).

Almost surely, 2232416420 is an apocalyptic number.

232416420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232416420 is an abundant number, since it is smaller than the sum of its proper divisors (426600540).

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

232416420 is a wasteful number, since it uses less digits than its factorization.

232416420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49124 (or 49122 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 232416420 is about 15245.2097394559. The cubic root of 232416420 is about 614.8307816543.

The spelling of 232416420 in words is "two hundred thirty-two million, four hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 49033 98066 147099 196132 245165 294198 490330 588396 735495 980660 1470990 2941980 3873607 7747214 11620821 15494428 19368035 23241642 38736070 46483284 58104105 77472140 116208210 232416420