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10222471440 = 24325231394441
BaseRepresentation
bin10011000010100111…
…01000100100010000
3222101102101100120100
421201103220210100
5131413423041230
64410211012400
7511215400506
oct114123504420
928342340510
1010222471440
114376356105
121b9359a100
13c6bb11a8c
146cd914676
153ec6a5660
hex2614e8910

10222471440 has 240 divisors, whose sum is σ = 36088940160. Its totient is φ = 2588129280.

The previous prime is 10222471429. The next prime is 10222471499. The reversal of 10222471440 is 4417422201.

It is a tau number, because it is divible by the number of its divisors (240).

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, 2299620 + ... + 2304060.

It is an arithmetic number, because the mean of its divisors is an integer number (150370584).

Almost surely, 210222471440 is an apocalyptic number.

10222471440 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 10222471440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18044470080).

10222471440 is an abundant number, since it is smaller than the sum of its proper divisors (25866468720).

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

10222471440 is a wasteful number, since it uses less digits than its factorization.

10222471440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4622 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 10222471440 its reverse (4417422201), we get a palindrome (14639893641).

The spelling of 10222471440 in words is "ten billion, two hundred twenty-two million, four hundred seventy-one thousand, four hundred forty".