Search a number
-
+
22607130 = 23573133
BaseRepresentation
bin101011000111…
…1010100011010
31120112120011010
41112033110122
521241412010
62124314350
7363105000
oct126172432
946476133
1022607130
1111841087
1276a29b6
1348b7000
143006a70
151eb8620
hex158f51a

22607130 has 128 divisors (see below), whose sum is σ = 68544000. Its totient is φ = 4769856.

The previous prime is 22607087. The next prime is 22607147. The reversal of 22607130 is 3170622.

It is a happy number.

It is a super-2 number, since 2×226071302 = 1022164653673800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22607097 and 22607106.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1739004 + ... + 1739016.

It is an arithmetic number, because the mean of its divisors is an integer number (535500).

Almost surely, 222607130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22607130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34272000).

22607130 is an abundant number, since it is smaller than the sum of its proper divisors (45936870).

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

22607130 is an equidigital number, since it uses as much as digits as its factorization.

22607130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 22607130 is about 4754.6955738512. The cubic root of 22607130 is about 282.7581580418.

Adding to 22607130 its reverse (3170622), we get a palindrome (25777752).

The spelling of 22607130 in words is "twenty-two million, six hundred seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 169 182 195 210 245 273 294 338 343 390 455 490 507 546 637 686 735 845 910 1014 1029 1183 1274 1365 1470 1690 1715 1911 2058 2197 2366 2535 2730 3185 3430 3549 3822 4394 4459 5070 5145 5915 6370 6591 7098 8281 8918 9555 10290 10985 11830 13182 13377 15379 16562 17745 19110 21970 22295 24843 26754 30758 32955 35490 41405 44590 46137 49686 57967 65910 66885 76895 82810 92274 107653 115934 124215 133770 153790 173901 215306 230685 248430 289835 322959 347802 461370 538265 579670 645918 753571 869505 1076530 1507142 1614795 1739010 2260713 3229590 3767855 4521426 7535710 11303565 22607130