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232276380 = 223573714947
BaseRepresentation
bin11011101100001…
…00000110011100
3121012001212021220
431312010012130
5433430321010
635014253340
75520213420
oct1566040634
9535055256
10232276380
1110a128756
1265957250
133917845b
1422bc4b80
15155d2970
hexdd8419c

232276380 has 96 divisors (see below), whose sum is σ = 763424256. Its totient is φ = 51653376.

The previous prime is 232276339. The next prime is 232276391. The reversal of 232276380 is 83672232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8067 + ... + 23013.

It is an arithmetic number, because the mean of its divisors is an integer number (7952336).

Almost surely, 2232276380 is an apocalyptic number.

232276380 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 232276380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381712128).

232276380 is an abundant number, since it is smaller than the sum of its proper divisors (531147876).

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

232276380 is a wasteful number, since it uses less digits than its factorization.

232276380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15003 (or 15001 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 232276380 is about 15240.6161292777. The cubic root of 232276380 is about 614.7072702984.

The spelling of 232276380 in words is "two hundred thirty-two million, two hundred seventy-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3885 5180 7770 14947 15540 29894 44841 59788 74735 89682 104629 149470 179364 209258 224205 298940 313887 418516 448410 523145 553039 627774 896820 1046290 1106078 1255548 1569435 1659117 2092580 2212156 2765195 3138870 3318234 3871273 5530390 6277740 6636468 7742546 8295585 11060780 11613819 15485092 16591170 19356365 23227638 33182340 38712730 46455276 58069095 77425460 116138190 232276380