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22364140 = 22519229257
BaseRepresentation
bin101010101001…
…1111111101100
31120002012211111
41111103333230
521211123030
62115201404
7361043401
oct125237754
946065744
1022364140
1111695567
1275a6264
134830526
142d822a8
151e6b62a
hex1553fec

22364140 has 48 divisors (see below), whose sum is σ = 49845600. Its totient is φ = 8404992.

The previous prime is 22364137. The next prime is 22364141. The reversal of 22364140 is 4146322.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22364141) 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, 86892 + ... + 87148.

It is an arithmetic number, because the mean of its divisors is an integer number (1038450).

Almost surely, 222364140 is an apocalyptic number.

22364140 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 22364140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24922800).

22364140 is an abundant number, since it is smaller than the sum of its proper divisors (27481460).

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

22364140 is a wasteful number, since it uses less digits than its factorization.

22364140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 22364140 is about 4729.0739051108. The cubic root of 22364140 is about 281.7414426696.

The spelling of 22364140 in words is "twenty-two million, three hundred sixty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 229 257 380 458 514 916 1028 1145 1285 2290 2570 4351 4580 4883 5140 8702 9766 17404 19532 21755 24415 43510 48830 58853 87020 97660 117706 235412 294265 588530 1118207 1177060 2236414 4472828 5591035 11182070 22364140