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232087375920 = 24359733130119
BaseRepresentation
bin1101100000100101111…
…1000101000000110000
3211012001120100021022210
43120021133011000300
512300303332012140
6254341445532120
722524225100641
oct3301137050060
9735046307283
10232087375920
118a4783006a4
1238b91714040
1318b68ca204a
14b33984b6c8
15608546ed80
hex36097c5030

232087375920 has 160 divisors (see below), whose sum is σ = 729108334080. Its totient is φ = 61064847360.

The previous prime is 232087375889. The next prime is 232087375967. The reversal of 232087375920 is 29573780232.

It is a super-2 number, since 2×2320873759202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 232087375920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7690621 + ... + 7720739.

It is an arithmetic number, because the mean of its divisors is an integer number (4556927088).

Almost surely, 2232087375920 is an apocalyptic number.

232087375920 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 232087375920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364554167040).

232087375920 is an abundant number, since it is smaller than the sum of its proper divisors (497020958160).

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

232087375920 is a wasteful number, since it uses less digits than its factorization.

232087375920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30563 (or 30557 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 232087375920 in words is "two hundred thirty-two billion, eighty-seven million, three hundred seventy-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 331 388 485 582 662 776 970 993 1164 1324 1455 1552 1655 1940 1986 2328 2648 2910 3310 3880 3972 4656 4965 5296 5820 6620 7760 7944 9930 11640 13240 15888 19860 23280 26480 30119 32107 39720 60238 64214 79440 90357 96321 120476 128428 150595 160535 180714 192642 240952 256856 301190 321070 361428 385284 451785 481605 481904 513712 602380 642140 722856 770568 903570 963210 1204760 1284280 1445712 1541136 1807140 1926420 2409520 2568560 2921543 3614280 3852840 5843086 7228560 7705680 8764629 9969389 11686172 14607715 17529258 19938778 23372344 29215430 29908167 35058516 39877556 43823145 46744688 49846945 58430860 59816334 70117032 79755112 87646290 99693890 116861720 119632668 140234064 149540835 159510224 175292580 199387780 233723440 239265336 299081670 350585160 398775560 478530672 598163340 701170320 797551120 967030733 1196326680 1934061466 2392653360 2901092199 3868122932 4835153665 5802184398 7736245864 9670307330 11604368796 14505460995 15472491728 19340614660 23208737592 29010921990 38681229320 46417475184 58021843980 77362458640 116043687960 232087375920