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221221120232200 = 235211253013974351
BaseRepresentation
bin110010010011001100001110…
…010010011100101100001000
31002000021112101020020122010211
4302103030032102130230020
5212443441323234412300
62102255325112050504
764411461405136444
oct6223141622345410
91060245336218124
10221221120232200
116454039416a530
122098a175693a34
1396590a664ac1a
143c8b233379824
151a89707dac4ba
hexc9330e49cb08

221221120232200 has 96 divisors (see below), whose sum is σ = 561119523016320. Its totient is φ = 80440844000000.

The previous prime is 221221120232081. The next prime is 221221120232207. The reversal of 221221120232200 is 2232021122122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (221221120232207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53675025 + ... + 57649375.

It is an arithmetic number, because the mean of its divisors is an integer number (5844995031420).

Almost surely, 2221221120232200 is an apocalyptic number.

221221120232200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221120232200 is an abundant number, since it is smaller than the sum of its proper divisors (339898402784120).

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

221221120232200 is a wasteful number, since it uses less digits than its factorization.

221221120232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3999679 (or 3999670 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 221221120232200 its reverse (2232021122122), we get a palindrome (223453141354322).

The spelling of 221221120232200 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, one hundred twenty million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 25301 50602 101204 126505 202408 253010 278311 506020 556622 632525 1012040 1113244 1265050 1391555 2226488 2530100 2783110 3974351 5060200 5566220 6957775 7948702 11132440 13915550 15897404 19871755 27831100 31794808 39743510 43717861 55662200 79487020 87435722 99358775 158974040 174871444 198717550 218589305 349742888 397435100 437178610 794870200 874357220 1092946525 1748714440 2185893050 4371786100 8743572200 100555054651 201110109302 402220218604 502775273255 804440437208 1005550546510 1106105601161 2011101093020 2212211202322 2513876366275 4022202186040 4424422404644 5027752732550 5530528005805 8848844809288 10055505465100 11061056011610 20111010930200 22122112023220 27652640029025 44244224046440 55305280058050 110610560116100 221221120232200