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22140880 = 2451032687
BaseRepresentation
bin101010001110…
…1011111010000
31112122212120121
41110131133100
521132002010
62110320024
7356123446
oct124353720
945585517
1022140880
1111552853
1274b9014
134782a18
142d24b96
151e253da
hex151d7d0

22140880 has 40 divisors (see below), whose sum is σ = 51996672. Its totient is φ = 8767104.

The previous prime is 22140869. The next prime is 22140883. The reversal of 22140880 is 8804122.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22140883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6897 + ... + 9583.

Almost surely, 222140880 is an apocalyptic number.

22140880 is a gapful number since it is divisible by the number (20) 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 22140880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25998336).

22140880 is an abundant number, since it is smaller than the sum of its proper divisors (29855792).

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

22140880 is a wasteful number, since it uses less digits than its factorization.

22140880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 22140880 is about 4705.4096527295. The cubic root of 22140880 is about 280.8007689310.

The spelling of 22140880 in words is "twenty-two million, one hundred forty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1648 2060 2687 4120 5374 8240 10748 13435 21496 26870 42992 53740 107480 214960 276761 553522 1107044 1383805 2214088 2767610 4428176 5535220 11070440 22140880