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2200315242000 = 243536742113001
BaseRepresentation
bin100000000001001101000…
…000100010011000010000
321210100101202022111012010
4200001031000202120100
5242022221200221000
64402451051502520
7314652601652661
oct40011500423020
97710352274163
102200315242000
1177916a656a67
122b6529157a40
1312c647c89b75
14786d2791368
153c37de71d50
hex2004d022610

2200315242000 has 320 divisors, whose sum is σ = 7217350702848. Its totient is φ = 576576000000.

The previous prime is 2200315241947. The next prime is 2200315242017. The reversal of 2200315242000 is 2425130022.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169235500 + ... + 169248500.

Almost surely, 22200315242000 is an apocalyptic number.

2200315242000 is a gapful number since it is divisible by the number (20) 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 2200315242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608675351424).

2200315242000 is an abundant number, since it is smaller than the sum of its proper divisors (5017035460848).

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

2200315242000 is a wasteful number, since it uses less digits than its factorization.

2200315242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13515 (or 13499 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The spelling of 2200315242000 in words is "two trillion, two hundred billion, three hundred fifteen million, two hundred forty-two thousand".