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1980047572200 = 23325217199325163
BaseRepresentation
bin11100110100000100000…
…010000011110011101000
321000021211220211111111200
4130310010002003303220
5224420114134302300
64113342111124200
7263024265444435
oct34640402036350
97007756744450
101980047572200
116a3808264535
1227b8b5b13660
131149439a4a89
146bb98a2cb8c
153678b50c200
hex1cd04083ce8

1980047572200 has 288 divisors, whose sum is σ = 7076218968000. Its totient is φ = 494454343680.

The previous prime is 1980047572189. The next prime is 1980047572207. The reversal of 1980047572200 is 22757400891.

It is a happy number.

1980047572200 is a `hidden beast` number, since 1 + 98 + 0 + 0 + 475 + 72 + 20 + 0 = 666.

It is a super-2 number, since 2×19800475722002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1980047572207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5926819 + ... + 6251981.

It is an arithmetic number, because the mean of its divisors is an integer number (24570204750).

Almost surely, 21980047572200 is an apocalyptic number.

1980047572200 is a gapful number since it is divisible by the number (10) 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 1980047572200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538109484000).

1980047572200 is an abundant number, since it is smaller than the sum of its proper divisors (5096171395800).

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

1980047572200 is a wasteful number, since it uses less digits than its factorization.

1980047572200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325401 (or 325389 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1980047572200 in words is "one trillion, nine hundred eighty billion, forty-seven million, five hundred seventy-two thousand, two hundred".