Search a number
-
+
22399872 = 273115303
BaseRepresentation
bin101010101110…
…0101110000000
31120011000211220
41111130232000
521213243442
62120035040
7361252515
oct125345600
946130756
1022399872
111170a3a0
127602a80
134843881
142d9130c
151e76eec
hex155cb80

22399872 has 64 divisors (see below), whose sum is σ = 64920960. Its totient is φ = 6786560.

The previous prime is 22399849. The next prime is 22399889. The reversal of 22399872 is 27899322.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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, 1573 + ... + 6875.

It is an arithmetic number, because the mean of its divisors is an integer number (1014390).

Almost surely, 222399872 is an apocalyptic number.

22399872 is a gapful number since it is divisible by the number (22) 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 22399872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32460480).

22399872 is an abundant number, since it is smaller than the sum of its proper divisors (42521088).

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

22399872 is a wasteful number, since it uses less digits than its factorization.

22399872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331 (or 5319 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 22399872 is about 4732.8503039923. The cubic root of 22399872 is about 281.8914123445.

The spelling of 22399872 in words is "twenty-two million, three hundred ninety-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 5303 10606 15909 21212 31818 42424 58333 63636 84848 116666 127272 169696 174999 233332 254544 339392 349998 466664 509088 678784 699996 933328 1018176 1399992 1866656 2036352 2799984 3733312 5599968 7466624 11199936 22399872