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221313413004 = 22371679338239
BaseRepresentation
bin1100111000011101001…
…1101010111110001100
3210011020201020020200020
43032013103222332030
512111222213204004
6245400414302140
721663231654225
oct3160723527614
9704221206606
10221313413004
1185949719912
1236a854b7950
1317b3cb49c68
14a9d69ba24c
155b5467e8d9
hex33874eaf8c

221313413004 has 48 divisors (see below), whose sum is σ = 523761960960. Its totient is φ = 72719498880.

The previous prime is 221313412981. The next prime is 221313413017. The reversal of 221313413004 is 400314313122.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5768517 + ... + 5806755.

It is an arithmetic number, because the mean of its divisors is an integer number (10911707520).

Almost surely, 2221313413004 is an apocalyptic number.

It is an amenable number.

221313413004 is an abundant number, since it is smaller than the sum of its proper divisors (302448547956).

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

221313413004 is a wasteful number, since it uses less digits than its factorization.

221313413004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45110 (or 45108 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 221313413004 its reverse (400314313122), we get a palindrome (621627726126).

The spelling of 221313413004 in words is "two hundred twenty-one billion, three hundred thirteen million, four hundred thirteen thousand, four".

Divisors: 1 2 3 4 6 12 71 142 213 284 426 852 6793 13586 20379 27172 38239 40758 76478 81516 114717 152956 229434 458868 482303 964606 1446909 1929212 2714969 2893818 5429938 5787636 8144907 10859876 16289814 32579628 259757527 519515054 779272581 1039030108 1558545162 3117090324 18442784417 36885568834 55328353251 73771137668 110656706502 221313413004