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1022425520200 = 2352736710211949
BaseRepresentation
bin11101110000011010100…
…11110101100001001000
310121202001120222212221021
432320031103311201020
5113222411413121300
62101410143122224
7133603441346260
oct16701523654110
93552046885837
101022425520200
11364676608167
121461a02a3374
1375550326016
14376b29127a0
151b8e03e9d1a
hexee0d4f5848

1022425520200 has 192 divisors, whose sum is σ = 2728200384000. Its totient is φ = 349069132800.

The previous prime is 1022425520167. The next prime is 1022425520239. The reversal of 1022425520200 is 20255242201.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524588826 + ... + 524590774.

It is an arithmetic number, because the mean of its divisors is an integer number (14209377000).

Almost surely, 21022425520200 is an apocalyptic number.

1022425520200 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 1022425520200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364100192000).

1022425520200 is an abundant number, since it is smaller than the sum of its proper divisors (1705774863800).

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

1022425520200 is a wasteful number, since it uses less digits than its factorization.

1022425520200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 1022425520200 in words is "one trillion, twenty-two billion, four hundred twenty-five million, five hundred twenty thousand, two hundred".