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22429940 = 2251386269
BaseRepresentation
bin101010110010…
…0000011110100
31120012120002112
41111210003310
521220224230
62120430152
7361436261
oct125440364
946176075
1022429940
111172aa45
127618358
134854470
142d9c268
151e80d95
hex15640f4

22429940 has 24 divisors (see below), whose sum is σ = 50726760. Its totient is φ = 8281728.

The previous prime is 22429931. The next prime is 22429943. The reversal of 22429940 is 4992422.

It can be written as a sum of positive squares in 4 ways, for example, as 94864 + 22335076 = 308^2 + 4726^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22429897 and 22429906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22429943) 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 7 ways as a sum of consecutive naturals, for example, 42875 + ... + 43394.

It is an arithmetic number, because the mean of its divisors is an integer number (2113615).

Almost surely, 222429940 is an apocalyptic number.

22429940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22429940 is an abundant number, since it is smaller than the sum of its proper divisors (28296820).

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

22429940 is a wasteful number, since it uses less digits than its factorization.

22429940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86291 (or 86289 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 22429940 is about 4736.0257600651. The cubic root of 22429940 is about 282.0174862989.

The spelling of 22429940 in words is "twenty-two million, four hundred twenty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 86269 172538 345076 431345 862690 1121497 1725380 2242994 4485988 5607485 11214970 22429940