Search a number
-
+
22676510120 = 23511173031619
BaseRepresentation
bin10101000111101000…
…000001010110101000
32011112100212001220012
4111013220001112220
5332420141310440
614230100151052
71431642104255
oct250750012650
964470761805
1022676510120
119687331760
12448a398488
1321a5058634
14115196242c
158cac10e65
hex547a015a8

22676510120 has 64 divisors (see below), whose sum is σ = 58934692800. Its totient is φ = 7760942080.

The previous prime is 22676510117. The next prime is 22676510147. The reversal of 22676510120 is 2101567622.

It is a super-2 number, since 2×226765101202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1508330 + ... + 1523289.

It is an arithmetic number, because the mean of its divisors is an integer number (920854575).

Almost surely, 222676510120 is an apocalyptic number.

22676510120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22676510120 is an abundant number, since it is smaller than the sum of its proper divisors (36258182680).

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

22676510120 is a wasteful number, since it uses less digits than its factorization.

22676510120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031658 (or 3031654 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 22676510120 in words is "twenty-two billion, six hundred seventy-six million, five hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 3031619 6063238 12126476 15158095 24252952 30316190 33347809 51537523 60632380 66695618 103075046 121264760 133391236 166739045 206150092 257687615 266782472 333478090 412300184 515375230 566912753 666956180 1030750460 1133825506 1333912360 2061500920 2267651012 2834563765 4535302024 5669127530 11338255060 22676510120