Search a number
-
+
22625580 = 22351989223
BaseRepresentation
bin101011001001…
…1110100101100
31120120111110110
41112103310230
521243004310
62124540020
7363212535
oct126236454
946514413
1022625580
1111853a2a
1276b1610
1348c2523
14300d68c
151ebdd20
hex1593d2c

22625580 has 96 divisors (see below), whose sum is σ = 67737600. Its totient is φ = 5626368.

The previous prime is 22625579. The next prime is 22625609. The reversal of 22625580 is 8552622.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 101349 + ... + 101571.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 222625580 is an apocalyptic number.

22625580 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 22625580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

22625580 is an abundant number, since it is smaller than the sum of its proper divisors (45112020).

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

22625580 is a wasteful number, since it uses less digits than its factorization.

22625580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 22625580 is about 4756.6353654658. The cubic root of 22625580 is about 282.8350581093.

The spelling of 22625580 in words is "twenty-two million, six hundred twenty-five thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 89 95 114 178 190 223 228 267 285 356 380 445 446 534 570 669 890 892 1068 1115 1140 1335 1338 1691 1780 2230 2670 2676 3345 3382 4237 4460 5073 5340 6690 6764 8455 8474 10146 12711 13380 16910 16948 19847 20292 21185 25365 25422 33820 39694 42370 50730 50844 59541 63555 79388 84740 99235 101460 119082 127110 198470 238164 254220 297705 377093 396940 595410 754186 1131279 1190820 1508372 1885465 2262558 3770930 4525116 5656395 7541860 11312790 22625580