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2202316899552 = 253372112429917
BaseRepresentation
bin100000000011000100010…
…100010000010011100000
321210112120020210020011000
4200003010110100103200
5242040321111241202
64403421434152000
7315053315530200
oct40030424202340
97715506706130
102202316899552
11779aa7525a00
122b69a7582600
1312c8a6894813
147884255c400
153c449a6091c
hex200c45104e0

2202316899552 has 432 divisors, whose sum is σ = 8213205062160. Its totient is φ = 572029032960.

The previous prime is 2202316899533. The next prime is 2202316899553. The reversal of 2202316899552 is 2559986132022.

It is a happy number.

2202316899552 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 3 + 1 + 6 + 89 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202316899553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4907698 + ... + 5337614.

It is an arithmetic number, because the mean of its divisors is an integer number (19012048755).

Almost surely, 22202316899552 is an apocalyptic number.

2202316899552 is a gapful number since it is divisible by the number (22) 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 2202316899552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106602531080).

2202316899552 is an abundant number, since it is smaller than the sum of its proper divisors (6010888162608).

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

2202316899552 is a wasteful number, since it uses less digits than its factorization.

2202316899552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429972 (or 429940 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 2202316899552 in words is "two trillion, two hundred two billion, three hundred sixteen million, eight hundred ninety-nine thousand, five hundred fifty-two".