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22734040 = 235731657
BaseRepresentation
bin101011010111…
…0010011011000
31120210000020111
41112232103120
521304442130
62131134104
7364144000
oct126562330
946700214
1022734040
111191846a
127744334
13492c9c4
14303b000
151ee102a
hex15ae4d8

22734040 has 64 divisors (see below), whose sum is σ = 59688000. Its totient is φ = 7789824.

The previous prime is 22734037. The next prime is 22734053. The reversal of 22734040 is 4043722.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12892 + ... + 14548.

It is an arithmetic number, because the mean of its divisors is an integer number (932625).

Almost surely, 222734040 is an apocalyptic number.

22734040 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 22734040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29844000).

22734040 is an abundant number, since it is smaller than the sum of its proper divisors (36953960).

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

22734040 is a wasteful number, since it uses less digits than its factorization.

22734040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 22734040 is about 4768.0226509529. The cubic root of 22734040 is about 283.2862789987.

Adding to 22734040 its reverse (4043722), we get a palindrome (26777762).

The spelling of 22734040 in words is "twenty-two million, seven hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1657 1715 1960 2744 3314 3430 6628 6860 8285 11599 13256 13720 16570 23198 33140 46396 57995 66280 81193 92792 115990 162386 231980 324772 405965 463960 568351 649544 811930 1136702 1623860 2273404 2841755 3247720 4546808 5683510 11367020 22734040