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20402132200 = 23522917320333
BaseRepresentation
bin10011000000000011…
…111101010011101000
31221122212012200220221
4103000003331103220
5313240421212300
613212252255424
71321404155662
oct230003752350
957585180827
1020402132200
11871a52098a
123b54771574
131c01ab4898
14db7883532
157e620131a
hex4c00fd4e8

20402132200 has 96 divisors (see below), whose sum is σ = 49356718200. Its totient is φ = 7833512960.

The previous prime is 20402132183. The next prime is 20402132251. The reversal of 20402132200 is 223120402.

It can be written as a sum of positive squares in 12 ways, for example, as 10589644836 + 9812487364 = 102906^2 + 99058^2 .

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, 993234 + ... + 1013566.

Almost surely, 220402132200 is an apocalyptic number.

20402132200 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 20402132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24678359100).

20402132200 is an abundant number, since it is smaller than the sum of its proper divisors (28954586000).

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

20402132200 is a wasteful number, since it uses less digits than its factorization.

20402132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20551 (or 20542 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20402132200 its reverse (223120402), we get a palindrome (20625252602).

The spelling of 20402132200 in words is "twenty billion, four hundred two million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 173 200 232 290 346 580 692 725 865 1160 1384 1450 1730 2900 3460 4325 5017 5800 6920 8650 10034 17300 20068 20333 25085 34600 40136 40666 50170 81332 100340 101665 125425 162664 200680 203330 250850 406660 501700 508325 589657 813320 1003400 1016650 1179314 2033300 2358628 2948285 3517609 4066600 4717256 5896570 7035218 11793140 14070436 14741425 17588045 23586280 28140872 29482850 35176090 58965700 70352180 87940225 102010661 117931400 140704360 175880450 204021322 351760900 408042644 510053305 703521800 816085288 1020106610 2040213220 2550266525 4080426440 5100533050 10201066100 20402132200