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22690248 = 23371311031
BaseRepresentation
bin101011010001…
…1100111001000
31120200210011120
41112203213020
521302041443
62130155240
7363602220
oct126434710
946623146
1022690248
1111898579
127722b20
134915aa9
143029080
151ed3083
hex15a39c8

22690248 has 64 divisors (see below), whose sum is σ = 65387520. Its totient is φ = 6427200.

The previous prime is 22690247. The next prime is 22690253. The reversal of 22690248 is 84209622.

It is not an unprimeable number, because it can be changed into a prime (22690243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21493 + ... + 22523.

It is an arithmetic number, because the mean of its divisors is an integer number (1021680).

Almost surely, 222690248 is an apocalyptic number.

22690248 is a gapful number since it is divisible by the number (28) 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 22690248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32693760).

22690248 is an abundant number, since it is smaller than the sum of its proper divisors (42697272).

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

22690248 is a wasteful number, since it uses less digits than its factorization.

22690248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 22690248 is about 4763.4281772690. The cubic root of 22690248 is about 283.1042663744.

The spelling of 22690248 in words is "twenty-two million, six hundred ninety thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 131 168 262 393 524 786 917 1031 1048 1572 1834 2062 2751 3093 3144 3668 4124 5502 6186 7217 7336 8248 11004 12372 14434 21651 22008 24744 28868 43302 57736 86604 135061 173208 270122 405183 540244 810366 945427 1080488 1620732 1890854 2836281 3241464 3781708 5672562 7563416 11345124 22690248