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232305480 = 233251125333
BaseRepresentation
bin11011101100010…
…11001101001000
3121012010100012200
431312023031020
5433432233410
635015040200
75520364311
oct1566131510
9535110180
10232305480
1110a148600
1265970060
1339188784
1422bd1608
15155db3c0
hexdd8b348

232305480 has 144 divisors (see below), whose sum is σ = 830023740. Its totient is φ = 56305920.

The previous prime is 232305449. The next prime is 232305503. The reversal of 232305480 is 84503232.

232305480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 212751396 + 19554084 = 14586^2 + 4422^2 .

It is a super-3 number, since 3×2323054803 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40894 + ... + 46226.

Almost surely, 2232305480 is an apocalyptic number.

232305480 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 232305480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415011870).

232305480 is an abundant number, since it is smaller than the sum of its proper divisors (597718260).

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

232305480 is a wasteful number, since it uses less digits than its factorization.

232305480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5372 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 232305480 is about 15241.5707851914. The cubic root of 232305480 is about 614.7329397682.

The spelling of 232305480 in words is "two hundred thirty-two million, three hundred five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5333 5445 7260 8712 10666 10890 14520 15999 21332 21780 26665 31998 42664 43560 47997 53330 58663 63996 79995 95994 106660 117326 127992 159990 175989 191988 213320 234652 239985 293315 319980 351978 383976 469304 479970 527967 586630 639960 645293 703956 879945 959940 1055934 1173260 1290586 1407912 1759890 1919880 1935879 2111868 2346520 2581172 2639835 3226465 3519780 3871758 4223736 5162344 5279670 5807637 6452930 7039560 7743516 9679395 10559340 11615274 12905860 15487032 19358790 21118680 23230548 25811720 29038185 38717580 46461096 58076370 77435160 116152740 232305480