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232350140 = 225112347977
BaseRepresentation
bin11011101100101…
…10000110111100
3121012012121110202
431312112012330
5433440201030
635020023032
75520641441
oct1566260674
9535177422
10232350140
1110a179110
1265991a78
13391a2bb9
1422c039c8
15155e9745
hexdd961bc

232350140 has 96 divisors (see below), whose sum is σ = 567834624. Its totient is φ = 79016960.

The previous prime is 232350137. The next prime is 232350149. The reversal of 232350140 is 41053232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232350149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237332 + ... + 238308.

It is an arithmetic number, because the mean of its divisors is an integer number (5914944).

Almost surely, 2232350140 is an apocalyptic number.

232350140 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 232350140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283917312).

232350140 is an abundant number, since it is smaller than the sum of its proper divisors (335484484).

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

232350140 is a wasteful number, since it uses less digits than its factorization.

232350140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 232350140 is about 15243.0357868766. The cubic root of 232350140 is about 614.7723307373.

The spelling of 232350140 in words is "two hundred thirty-two million, three hundred fifty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 47 55 92 94 110 115 188 220 230 235 253 460 470 506 517 940 977 1012 1034 1081 1265 1954 2068 2162 2530 2585 3908 4324 4885 5060 5170 5405 9770 10340 10747 10810 11891 19540 21494 21620 22471 23782 42988 44942 45919 47564 53735 59455 89884 91838 107470 112355 118910 183676 214940 224710 229595 237820 247181 449420 459190 494362 505109 918380 988724 1010218 1056137 1235905 2020436 2112274 2471810 2525545 4224548 4943620 5051090 5280685 10102180 10561370 11617507 21122740 23235014 46470028 58087535 116175070 232350140