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232251240 = 233513236473
BaseRepresentation
bin11011101011111…
…01111101101000
3121012000120210210
431311331331220
5433424014430
635013541120
75520050214
oct1565757550
9535016723
10232251240
1110a110881
12659447a0
1339169b90
1422bb9944
15155ca2b0
hexdd7df68

232251240 has 128 divisors (see below), whose sum is σ = 783095040. Its totient is φ = 54675456.

The previous prime is 232251233. The next prime is 232251259. The reversal of 232251240 is 42152232.

It is a zygodrome in base 14.

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 31 ways as a sum of consecutive naturals, for example, 32644 + ... + 39116.

It is an arithmetic number, because the mean of its divisors is an integer number (6117930).

Almost surely, 2232251240 is an apocalyptic number.

232251240 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 232251240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391547520).

232251240 is an abundant number, since it is smaller than the sum of its proper divisors (550843800).

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

232251240 is a wasteful number, since it uses less digits than its factorization.

232251240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523 (or 6519 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 232251240 is about 15239.7913371542. The cubic root of 232251240 is about 614.6850922672.

The spelling of 232251240 in words is "two hundred thirty-two million, two hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 299 312 345 390 460 520 552 598 690 780 897 920 1196 1380 1495 1560 1794 2392 2760 2990 3588 4485 5980 6473 7176 8970 11960 12946 17940 19419 25892 32365 35880 38838 51784 64730 77676 84149 97095 129460 148879 155352 168298 194190 252447 258920 297758 336596 388380 420745 446637 504894 595516 673192 744395 776760 841490 893274 1009788 1191032 1262235 1488790 1682980 1786548 1935427 2019576 2233185 2524470 2977580 3365960 3573096 3870854 4466370 5048940 5806281 5955160 7741708 8932740 9677135 10097880 11612562 15483416 17865480 19354270 23225124 29031405 38708540 46450248 58062810 77417080 116125620 232251240