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22126848 = 28347613
BaseRepresentation
bin101010001101…
…0000100000000
31112122011022220
41110122010000
521131024343
62110131040
7356034522
oct124320400
945564286
1022126848
1111543257
1274b0a80
134779513
142d1da12
151e21183
hex151a100

22126848 has 72 divisors (see below), whose sum is σ = 60240768. Its totient is φ = 7206912.

The previous prime is 22126847. The next prime is 22126861. The reversal of 22126848 is 84862122.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22126847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35790 + ... + 36402.

Almost surely, 222126848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22126848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30120384).

22126848 is an abundant number, since it is smaller than the sum of its proper divisors (38113920).

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

22126848 is an equidigital number, since it uses as much as digits as its factorization.

22126848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 665 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 22126848 is about 4703.9183666386. The cubic root of 22126848 is about 280.7414363140.

The spelling of 22126848 in words is "twenty-two million, one hundred twenty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 564 613 752 768 1128 1226 1504 1839 2256 2452 3008 3678 4512 4904 6016 7356 9024 9808 12032 14712 18048 19616 28811 29424 36096 39232 57622 58848 78464 86433 115244 117696 156928 172866 230488 235392 345732 460976 470784 691464 921952 1382928 1843904 2765856 3687808 5531712 7375616 11063424 22126848