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10222692480 = 2734571113197
BaseRepresentation
bin10011000010101000…
…11110100010000000
3222101102210120210000
421201110132202000
5131414002124410
64410215440000
7511220311110
oct114124364200
928342716700
1010222692480
114376497190
121b93686000
13c6bb8b580
146cd971040
153ec6eadc0
hex26151e880

10222692480 has 1280 divisors, whose sum is σ = 49265314560. Its totient is φ = 1950842880.

The previous prime is 10222692461. The next prime is 10222692481. The reversal of 10222692480 is 8429622201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222692481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51891742 + ... + 51891938.

It is an arithmetic number, because the mean of its divisors is an integer number (38488527).

Almost surely, 210222692480 is an apocalyptic number.

10222692480 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 10222692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24632657280).

10222692480 is an abundant number, since it is smaller than the sum of its proper divisors (39042622080).

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

10222692480 is a wasteful number, since it uses less digits than its factorization.

10222692480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10222692480 in words is "ten billion, two hundred twenty-two million, six hundred ninety-two thousand, four hundred eighty".