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10132224 = 28379167
BaseRepresentation
bin100110101001…
…101100000000
3201001202210120
4212221230000
510043212344
61001100240
7152060004
oct46515400
921052716
1010132224
1157a0543
123487680
132139acb
1414ba704
15d52219
hex9a9b00

10132224 has 72 divisors (see below), whose sum is σ = 27471360. Its totient is φ = 3314688.

The previous prime is 10132217. The next prime is 10132229. The reversal of 10132224 is 42223101.

It is not an unprimeable number, because it can be changed into a prime (10132229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60589 + ... + 60755.

Almost surely, 210132224 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 10132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13735680).

10132224 is an abundant number, since it is smaller than the sum of its proper divisors (17339136).

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

10132224 is an equidigital number, since it uses as much as digits as its factorization.

10132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10132224 is about 3183.1154550220. The cubic root of 10132224 is about 216.3888742325.

Adding to 10132224 its reverse (42223101), we get a palindrome (52355325).

The spelling of 10132224 in words is "ten million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 167 192 237 256 316 334 384 474 501 632 668 768 948 1002 1264 1336 1896 2004 2528 2672 3792 4008 5056 5344 7584 8016 10112 10688 13193 15168 16032 20224 21376 26386 30336 32064 39579 42752 52772 60672 64128 79158 105544 128256 158316 211088 316632 422176 633264 844352 1266528 1688704 2533056 3377408 5066112 10132224