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2202852852144 = 2434723110091109
BaseRepresentation
bin100000000011100100010…
…000110000000110110000
321210120221121021102220000
4200003210100300012300
5242042420312232034
64403550541350000
7315102514204200
oct40034420600660
97716847242800
102202852852144
1177a25200902a
122b6b16b68300
1312c960927129
14788937d2400
153c47bb2b599
hex200e44301b0

2202852852144 has 600 divisors, whose sum is σ = 7670368886400. Its totient is φ = 607931412480.

The previous prime is 2202852852107. The next prime is 2202852852169. The reversal of 2202852852144 is 4412582582022.

2202852852144 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 85 + 2 + 8 + 521 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2202852852144.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1986341062 + ... + 1986342170.

It is an arithmetic number, because the mean of its divisors is an integer number (12783948144).

Almost surely, 22202852852144 is an apocalyptic number.

2202852852144 is a gapful number since it is divisible by the number (24) 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 2202852852144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3835184443200).

2202852852144 is an abundant number, since it is smaller than the sum of its proper divisors (5467516034256).

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

2202852852144 is a wasteful number, since it uses less digits than its factorization.

2202852852144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 2202852852144 in words is "two trillion, two hundred two billion, eight hundred fifty-two million, eight hundred fifty-two thousand, one hundred forty-four".