Search a number
-
+
22625505 = 3257231331
BaseRepresentation
bin101011001001…
…1110011100001
31120120111100200
41112103303201
521243004010
62124535413
7363212400
oct126236341
946514320
1022625505
1111853971
1276b1569
1348c2496
14300d637
151ebdcc0
hex1593ce1

22625505 has 72 divisors (see below), whose sum is σ = 47234304. Its totient is φ = 9979200.

The previous prime is 22625479. The next prime is 22625513. The reversal of 22625505 is 50552622.

It is not a de Polignac number, because 22625505 - 211 = 22623457 is a prime.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 68190 + ... + 68520.

It is an arithmetic number, because the mean of its divisors is an integer number (656032).

Almost surely, 222625505 is an apocalyptic number.

It is an amenable number.

22625505 is an abundant number, since it is smaller than the sum of its proper divisors (24608799).

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

22625505 is a wasteful number, since it uses less digits than its factorization.

22625505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 22625505 is about 4756.6274817354. The cubic root of 22625505 is about 282.8347455920.

The spelling of 22625505 in words is "twenty-two million, six hundred twenty-five thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 31 35 45 49 63 93 105 147 155 217 245 279 315 331 441 465 651 735 993 1085 1395 1519 1655 1953 2205 2317 2979 3255 4557 4965 6951 7595 9765 10261 11585 13671 14895 16219 20853 22785 30783 34755 48657 51305 68355 71827 81095 92349 104265 145971 153915 215481 243285 359135 461745 502789 646443 729855 1077405 1508367 2513945 3232215 4525101 7541835 22625505