Search a number
-
+
22222120000 = 26542919157
BaseRepresentation
bin10100101100100010…
…101010010001000000
32010100200211122211111
4110230202222101000
5331002330320000
614113025053104
71414453621603
oct245442522100
963320748744
1022222120000
119473897733
124382187194
132131b82642
14110b48033a
158a0da6cba
hex52c8aa440

22222120000 has 140 divisors (see below), whose sum is σ = 57006736380. Its totient is φ = 8581888000.

The previous prime is 22222119973. The next prime is 22222120031. The reversal of 22222120000 is 2122222.

It can be written as a sum of positive squares in 10 ways, for example, as 21273972736 + 948147264 = 145856^2 + 30792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1150422 + ... + 1169578.

Almost surely, 222222120000 is an apocalyptic number.

22222120000 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 22222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28503368190).

22222120000 is an abundant number, since it is smaller than the sum of its proper divisors (34784616380).

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

22222120000 is an equidigital number, since it uses as much as digits as its factorization.

22222120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19218 (or 19193 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 22222120000 its reverse (2122222), we get a palindrome (22224242222).

The spelling of 22222120000 in words is "twenty-two billion, two hundred twenty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 145 160 200 232 250 290 320 400 464 500 580 625 725 800 928 1000 1160 1250 1450 1600 1856 2000 2320 2500 2900 3625 4000 4640 5000 5800 7250 8000 9280 10000 11600 14500 18125 19157 20000 23200 29000 36250 38314 40000 46400 58000 72500 76628 95785 116000 145000 153256 191570 232000 290000 306512 383140 478925 555553 580000 613024 766280 957850 1111106 1160000 1226048 1532560 1915700 2222212 2394625 2777765 3065120 3831400 4444424 4789250 5555530 6130240 7662800 8888848 9578500 11111060 11973125 13888825 15325600 17777696 19157000 22222120 23946250 27777650 30651200 35555392 38314000 44444240 47892500 55555300 69444125 76628000 88888480 95785000 111110600 138888250 153256000 177776960 191570000 222221200 277776500 347220625 383140000 444442400 555553000 694441250 766280000 888884800 1111106000 1388882500 2222212000 2777765000 4444424000 5555530000 11111060000 22222120000