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22290640 = 245793527
BaseRepresentation
bin101010100001…
…0000011010000
31112221111000021
41111002003100
521201300030
62113433224
7360316201
oct125020320
945844007
1022290640
1111645319
12756b814
134805c38
142d635a8
151e5497a
hex15420d0

22290640 has 40 divisors (see below), whose sum is σ = 52496640. Its totient is φ = 8800896.

The previous prime is 22290617. The next prime is 22290661. The reversal of 22290640 is 4609222.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4557 + ... + 8083.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 222290640 is an apocalyptic number.

22290640 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 22290640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26248320).

22290640 is an abundant number, since it is smaller than the sum of its proper divisors (30206000).

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

22290640 is a wasteful number, since it uses less digits than its factorization.

22290640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3619 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 22290640 is about 4721.2964321254. The cubic root of 22290640 is about 281.4324551084.

Adding to 22290640 its reverse (4609222), we get a palindrome (26899862).

The spelling of 22290640 in words is "twenty-two million, two hundred ninety thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 3160 3527 6320 7054 14108 17635 28216 35270 56432 70540 141080 278633 282160 557266 1114532 1393165 2229064 2786330 4458128 5572660 11145320 22290640