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10221443232 = 25371113106367
BaseRepresentation
bin10011000010011111…
…01101100010100000
3222101100110010010120
421201033231202200
5131413142140412
64410133000240
7511203556020
oct114117554240
928340403116
1010221443232
114375813650
121b93183080
13c6b841a80
146cd727a80
153ec550b8c
hex2613ed8a0

10221443232 has 192 divisors, whose sum is σ = 36025565184. Its totient is φ = 2450672640.

The previous prime is 10221443173. The next prime is 10221443279. The reversal of 10221443232 is 23234412201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42913 + ... + 149279.

It is an arithmetic number, because the mean of its divisors is an integer number (187633152).

Almost surely, 210221443232 is an apocalyptic number.

10221443232 is a gapful number since it is divisible by the number (12) 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 10221443232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18012782592).

10221443232 is an abundant number, since it is smaller than the sum of its proper divisors (25804121952).

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

10221443232 is a wasteful number, since it uses less digits than its factorization.

10221443232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106411 (or 106403 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10221443232 its reverse (23234412201), we get a palindrome (33455855433).

The spelling of 10221443232 in words is "ten billion, two hundred twenty-one million, four hundred forty-three thousand, two hundred thirty-two".