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22690140 = 223511311109
BaseRepresentation
bin101011010001…
…1100101011100
31120200210000120
41112203211130
521302041030
62130154540
7363602004
oct126434534
946623016
1022690140
1111898490
127722a50
134915a25
143029004
151ed3010
hex15a395c

22690140 has 96 divisors (see below), whose sum is σ = 71608320. Its totient is φ = 5318400.

The previous prime is 22690067. The next prime is 22690141. The reversal of 22690140 is 4109622.

It is a self number, because there is not a number n which added to its sum of digits gives 22690140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22690141) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19906 + ... + 21014.

It is an arithmetic number, because the mean of its divisors is an integer number (745920).

Almost surely, 222690140 is an apocalyptic number.

22690140 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 22690140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35804160).

22690140 is an abundant number, since it is smaller than the sum of its proper divisors (48918180).

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

22690140 is a wasteful number, since it uses less digits than its factorization.

22690140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 22690140 is about 4763.4168408822. The cubic root of 22690140 is about 283.1038172048.

Adding to 22690140 its reverse (4109622), we get a palindrome (26799762).

The spelling of 22690140 in words is "twenty-two million, six hundred ninety thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1109 1364 1705 1860 2046 2218 3327 3410 4092 4436 5115 5545 6654 6820 10230 11090 12199 13308 16635 20460 22180 24398 33270 34379 36597 48796 60995 66540 68758 73194 103137 121990 137516 146388 171895 182985 206274 243980 343790 365970 378169 412548 515685 687580 731940 756338 1031370 1134507 1512676 1890845 2062740 2269014 3781690 4538028 5672535 7563380 11345070 22690140