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22731440 = 2451491907
BaseRepresentation
bin101011010110…
…1101010110000
31120202212200012
41112231222300
521304401230
62131114052
7364133264
oct126555260
946685605
1022731440
1111916516
127742928
13492b774
14303a0a4
151ee0395
hex15adab0

22731440 has 40 divisors (see below), whose sum is σ = 53233200. Its totient is φ = 9026816.

The previous prime is 22731439. The next prime is 22731473. The reversal of 22731440 is 4413722.

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

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 7 ways as a sum of consecutive naturals, for example, 10967 + ... + 12873.

It is an arithmetic number, because the mean of its divisors is an integer number (1330830).

Almost surely, 222731440 is an apocalyptic number.

22731440 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 22731440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26616600).

22731440 is an abundant number, since it is smaller than the sum of its proper divisors (30501760).

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

22731440 is a wasteful number, since it uses less digits than its factorization.

22731440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 22731440 is about 4767.7499934455. The cubic root of 22731440 is about 283.2754791525.

The spelling of 22731440 in words is "twenty-two million, seven hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 1192 1490 1907 2384 2980 3814 5960 7628 9535 11920 15256 19070 30512 38140 76280 152560 284143 568286 1136572 1420715 2273144 2841430 4546288 5682860 11365720 22731440