Search a number
-
+
22211022222 = 2322956375577
BaseRepresentation
bin10100101011111000…
…010100110110001110
32010022220221211112200
4110223320110312032
5330442010202342
614111551142330
71414260400554
oct245370246616
963286854480
1022211022222
1194685a7814
12437a5149a6
13212c7981cc
141109bd1bd4
1589ee1394c
hex52be14d8e

22211022222 has 48 divisors (see below), whose sum is σ = 49872410640. Its totient is φ = 7135583616.

The previous prime is 22211022221. The next prime is 22211022241. The reversal of 22211022222 is 22222011222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22211022195 and 22211022204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22211022221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256098 + ... + 331674.

It is an arithmetic number, because the mean of its divisors is an integer number (1039008555).

Almost surely, 222211022222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22211022222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24936205320).

22211022222 is an abundant number, since it is smaller than the sum of its proper divisors (27661388418).

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

22211022222 is a wasteful number, since it uses less digits than its factorization.

22211022222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76177 (or 76174 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22211022222 its reverse (22222011222), we get a palindrome (44433033444).

The spelling of 22211022222 in words is "twenty-two billion, two hundred eleven million, twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 563 1126 1689 3378 5067 10134 16327 32654 48981 75577 97962 146943 151154 226731 293886 453462 680193 1360386 2191733 4383466 6575199 13150398 19725597 39451194 42549851 85099702 127649553 255299106 382948659 765897318 1233945679 2467891358 3701837037 7403674074 11105511111 22211022222