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232100000 = 255511211
BaseRepresentation
bin11011101010110…
…01000010100000
3121011201220100022
431311121002200
5433404200000
635010413012
75515550246
oct1565310240
9534656308
10232100000
1110a018190
1265891168
13391160a2
1422b7a796
151559a585
hexdd590a0

232100000 has 144 divisors (see below), whose sum is σ = 626022432. Its totient is φ = 84000000.

The previous prime is 232099999. The next prime is 232100027. The reversal of 232100000 is 1232.

Adding to 232100000 its reverse (1232), we get a palindrome (232101232).

232100000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1099895 + ... + 1100105.

It is an arithmetic number, because the mean of its divisors is an integer number (4347378).

Almost surely, 2232100000 is an apocalyptic number.

232100000 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 232100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313011216).

232100000 is an abundant number, since it is smaller than the sum of its proper divisors (393922432).

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

232100000 is an equidigital number, since it uses as much as digits as its factorization.

232100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 232100000 is about 15234.8285188905. The cubic root of 232100000 is about 614.5516374218.

The spelling of 232100000 in words is "two hundred thirty-two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 211 220 250 275 352 400 422 440 500 550 625 800 844 880 1000 1055 1100 1250 1375 1688 1760 2000 2110 2200 2321 2500 2750 3125 3376 4000 4220 4400 4642 5000 5275 5500 6250 6752 6875 8440 8800 9284 10000 10550 11000 11605 12500 13750 16880 18568 20000 21100 22000 23210 25000 26375 27500 33760 34375 37136 42200 44000 46420 50000 52750 55000 58025 68750 74272 84400 92840 100000 105500 110000 116050 131875 137500 168800 185680 211000 220000 232100 263750 275000 290125 371360 422000 464200 527500 550000 580250 659375 844000 928400 1055000 1100000 1160500 1318750 1450625 1856800 2110000 2321000 2637500 2901250 4220000 4642000 5275000 5802500 7253125 9284000 10550000 11605000 14506250 21100000 23210000 29012500 46420000 58025000 116050000 232100000