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230252100 = 2235213431373
BaseRepresentation
bin11011011100101…
…01111001000100
3121001021000111120
431232111321010
5432421031400
634503033540
75464052631
oct1556257104
9531230446
10230252100
11108a758a1
126513b8b0
1338919c60
1422819188
1515332ca0
hexdb95e44

230252100 has 144 divisors (see below), whose sum is σ = 734661312. Its totient is φ = 55319040.

The previous prime is 230252093. The next prime is 230252111. The reversal of 230252100 is 1252032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230252100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167014 + ... + 168386.

Almost surely, 2230252100 is an apocalyptic number.

230252100 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 230252100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367330656).

230252100 is an abundant number, since it is smaller than the sum of its proper divisors (504409212).

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

230252100 is a wasteful number, since it uses less digits than its factorization.

230252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 230252100 is about 15174.0601026884. The cubic root of 230252100 is about 612.9163405617.

The spelling of 230252100 in words is "two hundred thirty million, two hundred fifty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 43 50 52 60 65 75 78 86 100 129 130 150 156 172 195 215 258 260 300 325 390 430 516 559 645 650 780 860 975 1075 1118 1290 1300 1373 1677 1950 2150 2236 2580 2746 2795 3225 3354 3900 4119 4300 5492 5590 6450 6708 6865 8238 8385 11180 12900 13730 13975 16476 16770 17849 20595 27460 27950 33540 34325 35698 41190 41925 53547 55900 59039 68650 71396 82380 83850 89245 102975 107094 118078 137300 167700 177117 178490 205950 214188 236156 267735 295195 354234 356980 411900 446225 535470 590390 708468 767507 885585 892450 1070940 1180780 1338675 1475975 1535014 1771170 1784900 2302521 2677350 2951950 3070028 3542340 3837535 4427925 4605042 5354700 5903900 7675070 8855850 9210084 11512605 15350140 17711700 19187675 23025210 38375350 46050420 57563025 76750700 115126050 230252100