Search a number
-
+
22460620200 = 23352367102001
BaseRepresentation
bin10100111010110000…
…011101110110101000
32010222022121201121020
4110322300131312220
5331444404321300
614152425012440
71423411056504
oct247260356650
963868551536
1022460620200
119586486437
12442a024120
13216c3c9915
141131005304
158b6cb88a0
hex53ac1dda8

22460620200 has 96 divisors (see below), whose sum is σ = 69818328960. Its totient is φ = 5973120000.

The previous prime is 22460620199. The next prime is 22460620243. The reversal of 22460620200 is 202606422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169200 + ... + 271200.

It is an arithmetic number, because the mean of its divisors is an integer number (727274260).

Almost surely, 222460620200 is an apocalyptic number.

22460620200 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 22460620200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34909164480).

22460620200 is an abundant number, since it is smaller than the sum of its proper divisors (47357708760).

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

22460620200 is a wasteful number, since it uses less digits than its factorization.

22460620200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102387 (or 102378 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 22460620200 in words is "twenty-two billion, four hundred sixty million, six hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 367 600 734 1101 1468 1835 2202 2936 3670 4404 5505 7340 8808 9175 11010 14680 18350 22020 27525 36700 44040 55050 73400 102001 110100 204002 220200 306003 408004 510005 612006 816008 1020010 1224012 1530015 2040020 2448024 2550025 3060030 4080040 5100050 6120060 7650075 10200100 12240120 15300150 20400200 30600300 37434367 61200600 74868734 112303101 149737468 187171835 224606202 299474936 374343670 449212404 561515505 748687340 898424808 935859175 1123031010 1497374680 1871718350 2246062020 2807577525 3743436700 4492124040 5615155050 7486873400 11230310100 22460620200