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22625000 = 2356181
BaseRepresentation
bin101011001001…
…1101011101000
31120120110122222
41112103223220
521243000000
62124533212
7363211046
oct126235350
946513588
1022625000
1111853552
1276b1208
1348c2198
14300d396
151ebda85
hex1593ae8

22625000 has 56 divisors (see below), whose sum is σ = 53319630. Its totient is φ = 9000000.

The previous prime is 22624997. The next prime is 22625003. The reversal of 22625000 is 52622.

It is an interprime number because it is at equal distance from previous prime (22624997) and next prime (22625003).

It can be written as a sum of positive squares in 7 ways, for example, as 18992164 + 3632836 = 4358^2 + 1906^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 22625000.

It is not an unprimeable number, because it can be changed into a prime (22625003) 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 13 ways as a sum of consecutive naturals, for example, 124910 + ... + 125090.

Almost surely, 222625000 is an apocalyptic number.

22625000 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 22625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26659815).

22625000 is an abundant number, since it is smaller than the sum of its proper divisors (30694630).

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

22625000 is an frugal number, since it uses more digits than its factorization.

22625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 22625000 is about 4756.5743976101. The cubic root of 22625000 is about 282.8326412911.

Adding to 22625000 its reverse (52622), we get a palindrome (22677622).

The spelling of 22625000 in words is "twenty-two million, six hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 181 200 250 362 500 625 724 905 1000 1250 1448 1810 2500 3125 3620 4525 5000 6250 7240 9050 12500 15625 18100 22625 25000 31250 36200 45250 62500 90500 113125 125000 181000 226250 452500 565625 905000 1131250 2262500 2828125 4525000 5656250 11312500 22625000