Search a number
-
+
253202305200 = 243521316230917
BaseRepresentation
bin1110101111010000001…
…0001001000010110000
3220012120002210211000120
43223310002021002300
513122024242231300
6312153004050240
724202406040345
oct3536402110260
9805502724016
10253202305200
1198423111579
12410a4b33980
131ab52656a40
14c37dc3a7cc
1568be0203a0
hex3af40890b0

253202305200 has 120 divisors (see below), whose sum is σ = 873483083088. Its totient is φ = 62326717440.

The previous prime is 253202305193. The next prime is 253202305211. The reversal of 253202305200 is 2503202352.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2532023052002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 8099859 + ... + 8131058.

Almost surely, 2253202305200 is an apocalyptic number.

253202305200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253202305200 is an abundant number, since it is smaller than the sum of its proper divisors (620280777888).

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

253202305200 is a wasteful number, since it uses less digits than its factorization.

253202305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16230951 (or 16230940 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

Adding to 253202305200 its reverse (2503202352), we get a palindrome (255705507552).

The spelling of 253202305200 in words is "two hundred fifty-three billion, two hundred two million, three hundred five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 16230917 32461834 48692751 64923668 81154585 97385502 129847336 162309170 194771004 211001921 243463755 259694672 324618340 389542008 405772925 422003842 486927510 633005763 649236680 779084016 811545850 844007684 973855020 1055009605 1217318775 1266011526 1298473360 1623091700 1688015368 1947710040 2110019210 2434637550 2532023052 3165028815 3246183400 3376030736 3895420080 4220038420 4869275100 5064046104 5275048025 6330057630 6492366800 8440076840 9738550200 10128092208 10550096050 12660115260 15825144075 16880153680 19477100400 21100192100 25320230520 31650288150 42200384200 50640461040 63300576300 84400768400 126601152600 253202305200