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14225787400 = 23521173283313
BaseRepresentation
bin11010011111110110…
…00100101000001000
31100201102022212122211
431033323010220020
5213113300144100
610311335554504
71012346124556
oct151773045010
940642285584
1014225787400
1160400a46a0
12291022ba34
1314593248a6
1498d48cbd6
15583d831ba
hex34fec4a08

14225787400 has 192 divisors, whose sum is σ = 36822553920. Its totient is φ = 5067878400.

The previous prime is 14225787371. The next prime is 14225787421. The reversal of 14225787400 is 478752241.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45449644 + ... + 45449956.

It is an arithmetic number, because the mean of its divisors is an integer number (191784135).

Almost surely, 214225787400 is an apocalyptic number.

14225787400 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 14225787400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18411276960).

14225787400 is an abundant number, since it is smaller than the sum of its proper divisors (22596766520).

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

14225787400 is a wasteful number, since it uses less digits than its factorization.

14225787400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The spelling of 14225787400 in words is "fourteen billion, two hundred twenty-five million, seven hundred eighty-seven thousand, four hundred".