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22143377144 = 2372232106783
BaseRepresentation
bin10100100111110110…
…010001111011111000
32010011012200002221102
4110213312101323320
5330322201032034
614101133230532
71412506412600
oct244766217370
963135602842
1022143377144
1194333a4a99
12435b932448
13211b772535
141100c23c00
1589900097e
hex527d91ef8

22143377144 has 72 divisors (see below), whose sum is σ = 50489076960. Its totient is φ = 9077324256.

The previous prime is 22143377131. The next prime is 22143377147. The reversal of 22143377144 is 44177334122.

It is a junction number, because it is equal to n+sod(n) for n = 22143377098 and 22143377107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22143377147) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 153977 + ... + 260759.

It is an arithmetic number, because the mean of its divisors is an integer number (701237180).

Almost surely, 222143377144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22143377144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25244538480).

22143377144 is an abundant number, since it is smaller than the sum of its proper divisors (28345699816).

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

22143377144 is a wasteful number, since it uses less digits than its factorization.

22143377144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106849 (or 106815 counting only the distinct ones).

The product of its digits is 112896, while the sum is 38.

The spelling of 22143377144 in words is "twenty-two billion, one hundred forty-three million, three hundred seventy-seven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 322 392 529 644 1058 1127 1288 2116 2254 3703 4232 4508 7406 9016 14812 25921 29624 51842 103684 106783 207368 213566 427132 747481 854264 1494962 2456009 2989924 4912018 5232367 5979848 9824036 10464734 17192063 19648072 20929468 34384126 41858936 56488207 68768252 112976414 120344441 137536504 225952828 240688882 395417449 451905656 481377764 790834898 962755528 1581669796 2767922143 3163339592 5535844286 11071688572 22143377144