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221301112200 = 23352752690741
BaseRepresentation
bin1100111000011010010…
…0101111110110001000
3210011012212002022010220
43032012210233312020
512111211041042300
6245355254510040
721663022262640
oct3160644576610
9704185068126
10221301112200
1185942788063
1236a81365320
1317b3a43108c
14a9d50d7520
155b5354eda0
hex338692fd88

221301112200 has 96 divisors (see below), whose sum is σ = 784038240960. Its totient is φ = 50583110400.

The previous prime is 221301112189. The next prime is 221301112243. The reversal of 221301112200 is 2211103122.

221301112200 is digitally balanced in base 2, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221301112200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26341171 + ... + 26349570.

It is an arithmetic number, because the mean of its divisors is an integer number (8167065010).

Almost surely, 2221301112200 is an apocalyptic number.

221301112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221301112200 is an abundant number, since it is smaller than the sum of its proper divisors (562737128760).

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

221301112200 is a wasteful number, since it uses less digits than its factorization.

221301112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52690767 (or 52690758 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 221301112200 its reverse (2211103122), we get a palindrome (223512215322).

The spelling of 221301112200 in words is "two hundred twenty-one billion, three hundred one million, one hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 52690741 105381482 158072223 210762964 263453705 316144446 368835187 421525928 526907410 632288892 737670374 790361115 1053814820 1106505561 1264577784 1317268525 1475340748 1580722230 1844175935 2107629640 2213011122 2634537050 2950681496 3161444460 3688351870 3951805575 4426022244 5269074100 5532527805 6322888920 7376703740 7903611150 8852044488 9220879675 10538148200 11065055610 14753407480 15807222300 18441759350 22130111220 27662639025 31614444600 36883518700 44260222440 55325278050 73767037400 110650556100 221301112200