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22140000144 = 2432153750001
BaseRepresentation
bin10100100111101001…
…011001011110010000
32010010222022112120100
4110213221121132100
5330320320001034
614100533012400
71412435616243
oct244751313620
963128275510
1022140000144
1194314a8889
12435a784100
13211ab5c402
1411005c525a
15898a85099
hex527a59790

22140000144 has 30 divisors (see below), whose sum is σ = 61961250806. Its totient is φ = 7380000000.

The previous prime is 22140000109. The next prime is 22140000191. The reversal of 22140000144 is 44100004122.

22140000144 is a `hidden beast` number, since 221 + 400 + 0 + 0 + 1 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17297510400 + 4842489744 = 131520^2 + 69588^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 76874857 + ... + 76875144.

Almost surely, 222140000144 is an apocalyptic number.

22140000144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22140000144 is an abundant number, since it is smaller than the sum of its proper divisors (39821250662).

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

22140000144 is a wasteful number, since it uses less digits than its factorization.

22140000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153750015 (or 153750006 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22140000144 its reverse (44100004122), we get a palindrome (66240004266).

The spelling of 22140000144 in words is "twenty-two billion, one hundred forty million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 153750001 307500002 461250003 615000004 922500006 1230000008 1383750009 1845000012 2460000016 2767500018 3690000024 5535000036 7380000048 11070000072 22140000144