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22254312144 = 243463631503
BaseRepresentation
bin10100101110011101…
…011101101011010000
32010102221102012011010
4110232131131223100
5331034100442034
614120135050520
71415324350341
oct245635355320
963387365133
1022254312144
11948aa85109
124390b10a40
13213874434c
1411118600c8
158a3b153e9
hex52e75dad0

22254312144 has 20 divisors (see below), whose sum is σ = 57490306496. Its totient is φ = 7418104032.

The previous prime is 22254312137. The next prime is 22254312151. The reversal of 22254312144 is 44121345222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22254312137) and next prime (22254312151).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 231815704 + ... + 231815799.

Almost surely, 222254312144 is an apocalyptic number.

22254312144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22254312144 is an abundant number, since it is smaller than the sum of its proper divisors (35235994352).

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

22254312144 is a wasteful number, since it uses less digits than its factorization.

22254312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463631514 (or 463631508 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

Adding to 22254312144 its reverse (44121345222), we get a palindrome (66375657366).

It can be divided in two parts, 22254312 and 144, that added together give a triangular number (22254456 = T6671).

The spelling of 22254312144 in words is "twenty-two billion, two hundred fifty-four million, three hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 463631503 927263006 1390894509 1854526012 2781789018 3709052024 5563578036 7418104048 11127156072 22254312144