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22244210032 = 24111395871549
BaseRepresentation
bin10100101101110110…
…111011010101110000
32010102020101221122211
4110231312323111300
5331024004210112
614115134341504
71415142444202
oct245566732560
963366357584
1022244210032
119485305260
12438965a894
132136618175
141110390772
158a2cbc0a7
hex52ddbb570

22244210032 has 80 divisors (see below), whose sum is σ = 47465712000. Its totient is φ = 10014693120.

The previous prime is 22244210011. The next prime is 22244210033. The reversal of 22244210032 is 23001244222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22244209985 and 22244210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22244210033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14359594 + ... + 14361142.

It is an arithmetic number, because the mean of its divisors is an integer number (593321400).

Almost surely, 222244210032 is an apocalyptic number.

22244210032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22244210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23732856000).

22244210032 is an abundant number, since it is smaller than the sum of its proper divisors (25221501968).

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

22244210032 is a wasteful number, since it uses less digits than its factorization.

22244210032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 22244210032 its reverse (23001244222), we get a palindrome (45245454254).

The spelling of 22244210032 in words is "twenty-two billion, two hundred forty-four million, two hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 139 176 278 556 587 1112 1174 1529 1549 2224 2348 3058 3098 4696 6116 6196 6457 9392 12232 12392 12914 17039 24464 24784 25828 34078 51656 68156 81593 103312 136312 163186 215311 272624 326372 430622 652744 861244 897523 909263 1305488 1722488 1795046 1818526 2368421 3444976 3590092 3637052 4736842 7180184 7274104 9473684 10001893 14360368 14548208 18947368 20003786 37894736 40007572 80015144 126387557 160030288 252775114 505550228 1011100456 1390263127 2022200912 2780526254 5561052508 11122105016 22244210032