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22640130 = 23251072351
BaseRepresentation
bin101011001011…
…1011000000010
31120121020102100
41112113120002
521243441010
62125131230
7363303132
oct126273002
946536370
1022640130
1111863957
1276b9b16
1348c9036
143014ac2
151ec32c0
hex1597602

22640130 has 48 divisors (see below), whose sum is σ = 59439744. Its totient is φ = 5978400.

The previous prime is 22640113. The next prime is 22640131. The reversal of 22640130 is 3104622.

It is a happy number.

22640130 is a `hidden beast` number, since 22 + 640 + 1 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22640131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8455 + ... + 10805.

It is an arithmetic number, because the mean of its divisors is an integer number (1238328).

Almost surely, 222640130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22640130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29719872).

22640130 is an abundant number, since it is smaller than the sum of its proper divisors (36799614).

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

22640130 is a wasteful number, since it uses less digits than its factorization.

22640130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 22640130 is about 4758.1645620974. The cubic root of 22640130 is about 282.8956733991.

Adding to 22640130 its reverse (3104622), we get a palindrome (25744752).

The spelling of 22640130 in words is "twenty-two million, six hundred forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 214 321 535 642 963 1070 1605 1926 2351 3210 4702 4815 7053 9630 11755 14106 21159 23510 35265 42318 70530 105795 211590 251557 503114 754671 1257785 1509342 2264013 2515570 3773355 4528026 7546710 11320065 22640130