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22244120433 = 3223283181311
BaseRepresentation
bin10100101101110110…
…100101011101110001
32010102020020101202100
4110231312211131301
5331023443323213
614115132411013
71415141622033
oct245566453561
963366211670
1022244120433
119485253a07
124389616a69
1321365b6452
141110369c53
158a2ca0773
hex52dda5771

22244120433 has 72 divisors (see below), whose sum is σ = 34290494784. Its totient is φ = 13891521600.

The previous prime is 22244120411. The next prime is 22244120471. The reversal of 22244120433 is 33402144222.

22244120433 is a `hidden beast` number, since 2 + 224 + 4 + 1 + 2 + 0 + 433 = 666.

It is not a de Polignac number, because 22244120433 - 26 = 22244120369 is a prime.

It is a super-3 number, since 3×222441204333 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22244120397 and 22244120406.

It is not an unprimeable number, because it can be changed into a prime (22244121433) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71524348 + ... + 71524658.

It is an arithmetic number, because the mean of its divisors is an integer number (476256872).

Almost surely, 222244120433 is an apocalyptic number.

22244120433 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

22244120433 is a deficient number, since it is larger than the sum of its proper divisors (12046374351).

22244120433 is a wasteful number, since it uses less digits than its factorization.

22244120433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22244120433 its reverse (33402144222), we get a palindrome (55646264655).

The spelling of 22244120433 in words is "twenty-two billion, two hundred forty-four million, one hundred twenty thousand, four hundred thirty-three".

Divisors: 1 3 9 23 69 83 181 207 249 311 529 543 747 933 1587 1629 1909 2799 4163 4761 5727 7153 12489 15023 17181 21459 25813 37467 43907 45069 56291 64377 77439 95749 131721 135207 164519 168873 232317 287247 345529 395163 493557 506619 593699 861741 1036587 1294693 1480671 1781097 3109761 3884079 4672153 5343291 7947167 11652237 13655077 14016459 23841501 29777939 40965231 42049377 71524503 89333817 107459519 122895693 268001451 322378557 967135671 2471568937 7414706811 22244120433