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232754140 = 225171933547
BaseRepresentation
bin11011101111110…
…00101111011100
3121012222010122201
431313320233130
5434041113030
635032421244
75524243333
oct1567705734
9535863581
10232754140
1110a4246a3
1265b47824
13392b4a58
1422caad1a
15156792ca
hexddf8bdc

232754140 has 48 divisors (see below), whose sum is σ = 520363872. Its totient is φ = 87146496.

The previous prime is 232754113. The next prime is 232754153. The reversal of 232754140 is 41457232.

It is a junction number, because it is equal to n+sod(n) for n = 232754099 and 232754108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63847 + ... + 67393.

It is an arithmetic number, because the mean of its divisors is an integer number (10840914).

Almost surely, 2232754140 is an apocalyptic number.

232754140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232754140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260181936).

232754140 is an abundant number, since it is smaller than the sum of its proper divisors (287609732).

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

232754140 is a wasteful number, since it uses less digits than its factorization.

232754140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 232754140 is about 15256.2819848087. The cubic root of 232754140 is about 615.1284372728.

The spelling of 232754140 in words is "two hundred thirty-two million, seven hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 193 340 386 772 965 1930 3281 3547 3860 6562 7094 13124 14188 16405 17735 32810 35470 60299 65620 70940 120598 241196 301495 602990 684571 1205980 1369142 2738284 3422855 6845710 11637707 13691420 23275414 46550828 58188535 116377070 232754140