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20032245200 = 2452114679749
BaseRepresentation
bin10010101010000000…
…111100110111010000
31220201002012111100102
4102222000330313100
5312011223321300
613111440311532
71306263163142
oct225200746720
956632174312
1020032245200
11854a753350
123a709125a8
131b73287836
14d806bac92
157c39da0d5
hex4aa03cdd0

20032245200 has 120 divisors (see below), whose sum is σ = 52620516000. Its totient is φ = 7268108800.

The previous prime is 20032245199. The next prime is 20032245217. The reversal of 20032245200 is 254223002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 2049926 + ... + 2059674.

It is an arithmetic number, because the mean of its divisors is an integer number (438504300).

Almost surely, 220032245200 is an apocalyptic number.

20032245200 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 20032245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26310258000).

20032245200 is an abundant number, since it is smaller than the sum of its proper divisors (32588270800).

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

20032245200 is a wasteful number, since it uses less digits than its factorization.

20032245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10245 (or 10234 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 20032245200 its reverse (254223002), we get a palindrome (20286468202).

The spelling of 20032245200 in words is "twenty billion, thirty-two million, two hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 467 550 880 934 1100 1868 2200 2335 3736 4400 4670 5137 7472 9340 9749 10274 11675 18680 19498 20548 23350 25685 37360 38996 41096 46700 48745 51370 77992 82192 93400 97490 102740 107239 128425 155984 186800 194980 205480 214478 243725 256850 389960 410960 428956 487450 513700 536195 779920 857912 974900 1027400 1072390 1715824 1949800 2054800 2144780 2680975 3899600 4289560 4552783 5361950 8579120 9105566 10723900 18211132 21447800 22763915 36422264 42895600 45527830 50080613 72844528 91055660 100161226 113819575 182111320 200322452 227639150 250403065 364222640 400644904 455278300 500806130 801289808 910556600 1001612260 1252015325 1821113200 2003224520 2504030650 4006449040 5008061300 10016122600 20032245200