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10222400430 = 23251110325657
BaseRepresentation
bin10011000010100110…
…10111001110101110
3222101102020202011100
421201103113032232
5131413413303210
64410205303530
7511214653464
oct114123271656
928342222140
1010222400430
114376307820
121b93564ba6
13c6bab8668
146cd8d6834
153ec68e5c0
hex2614d73ae

10222400430 has 48 divisors (see below), whose sum is σ = 28994447664. Its totient is φ = 2478157440.

The previous prime is 10222400429. The next prime is 10222400437. The reversal of 10222400430 is 3400422201.

10222400430 is a `hidden beast` number, since 1 + 0 + 222 + 400 + 43 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222400437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5161839 + ... + 5163818.

It is an arithmetic number, because the mean of its divisors is an integer number (604050993).

Almost surely, 210222400430 is an apocalyptic number.

10222400430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10222400430 is an abundant number, since it is smaller than the sum of its proper divisors (18772047234).

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

10222400430 is a wasteful number, since it uses less digits than its factorization.

10222400430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10325681 (or 10325678 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10222400430 its reverse (3400422201), we get a palindrome (13622822631).

The spelling of 10222400430 in words is "ten billion, two hundred twenty-two million, four hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 10325657 20651314 30976971 51628285 61953942 92930913 103256570 113582227 154884855 185861826 227164454 309769710 340746681 464654565 567911135 681493362 929309130 1022240043 1135822270 1703733405 2044480086 3407466810 5111200215 10222400430