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10220704200 = 23335272192107
BaseRepresentation
bin10011000010011001…
…11001000111001000
3222101022001120101000
421201030321013020
5131413000013300
64410105055000
7511164360300
oct114114710710
928338046330
1010220704200
114375359383
121b92a87460
13c6b643585
146cd5b4600
153ec456c00
hex2613391c8

10220704200 has 864 divisors, whose sum is σ = 43625109600. Its totient is φ = 2192520960.

The previous prime is 10220704183. The next prime is 10220704211. The reversal of 10220704200 is 240702201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 95520547 + ... + 95520653.

It is an arithmetic number, because the mean of its divisors is an integer number (50492025).

Almost surely, 210220704200 is an apocalyptic number.

10220704200 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 10220704200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21812554800).

10220704200 is an abundant number, since it is smaller than the sum of its proper divisors (33404405400).

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

10220704200 is a wasteful number, since it uses less digits than its factorization.

10220704200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The spelling of 10220704200 in words is "ten billion, two hundred twenty million, seven hundred four thousand, two hundred".