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232991040 = 2635317829
BaseRepresentation
bin11011110001100…
…10100101000000
3121020102011121210
431320302211000
5434121203130
635041450120
75526251112
oct1570624500
9536364553
10232991040
1110a576687
1266040940
1339368829
1422d2d3b2
15156c45b0
hexde32940

232991040 has 112 divisors (see below), whose sum is σ = 763706880. Its totient is φ = 60119040.

The previous prime is 232990997. The next prime is 232991041. The reversal of 232991040 is 40199232.

It is a super-3 number, since 3×2329910403 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 232990989 and 232991007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232991041) 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, 25846 + ... + 33674.

Almost surely, 2232991040 is an apocalyptic number.

232991040 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 232991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381853440).

232991040 is an abundant number, since it is smaller than the sum of its proper divisors (530715840).

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

232991040 is a wasteful number, since it uses less digits than its factorization.

232991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7880 (or 7870 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 232991040 is about 15264.0440250937. The cubic root of 232991040 is about 615.3370615818.

The spelling of 232991040 in words is "two hundred thirty-two million, nine hundred ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2480 2976 3720 4960 5952 7440 7829 9920 14880 15658 23487 29760 31316 39145 46974 62632 78290 93948 117435 125264 156580 187896 234870 242699 250528 313160 375792 469740 485398 501056 626320 728097 751584 939480 970796 1213495 1252640 1456194 1503168 1878960 1941592 2426990 2505280 2912388 3640485 3757920 3883184 4853980 5824776 7280970 7515840 7766368 9707960 11649552 14561940 15532736 19415920 23299104 29123880 38831840 46598208 58247760 77663680 116495520 232991040