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232295040 = 273454481
BaseRepresentation
bin11011101100010…
…00101010000000
3121012002210220000
431312020222000
5433431420130
635014520000
75520322005
oct1566105200
9535083800
10232295040
1110a14077a
1265966000
1339183ab3
1422bcb8ac
15155d8260
hexdd88a80

232295040 has 160 divisors (see below), whose sum is σ = 829752660. Its totient is φ = 61931520.

The previous prime is 232295033. The next prime is 232295057. The reversal of 232295040 is 40592232.

It can be written as a sum of positive squares in 2 ways, for example, as 230796864 + 1498176 = 15192^2 + 1224^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 232294995 and 232295013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49600 + ... + 54080.

Almost surely, 2232295040 is an apocalyptic number.

232295040 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 232295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414876330).

232295040 is an abundant number, since it is smaller than the sum of its proper divisors (597457620).

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

232295040 is an equidigital number, since it uses as much as digits as its factorization.

232295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 232295040 is about 15241.2282969582. The cubic root of 232295040 is about 614.7237307617.

The spelling of 232295040 in words is "two hundred thirty-two million, two hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 4481 5184 5760 6480 8640 8962 10368 12960 13443 17280 17924 22405 25920 26886 35848 40329 44810 51840 53772 67215 71696 80658 89620 107544 120987 134430 143392 161316 179240 201645 215088 241974 268860 286784 322632 358480 362961 403290 430176 483948 537720 573568 604935 645264 716960 725922 806580 860352 967896 1075440 1209870 1290528 1433920 1451844 1613160 1720704 1814805 1935792 2150880 2419740 2581056 2867840 2903688 3226320 3629610 3871584 4301760 4839480 5162112 5807376 6452640 7259220 7743168 8603520 9678960 11614752 12905280 14518440 15486336 19357920 23229504 25810560 29036880 38715840 46459008 58073760 77431680 116147520 232295040