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22212111220 = 22513577148061
BaseRepresentation
bin10100101011111100…
…011110101101110100
32010100000000011100221
4110223330132231310
5330442300024340
614112030344124
71414302554515
oct245374365564
963300004327
1022212111220
119469180a12
12437a95b044
13212ca89aa0
141109dd6a0c
158a007b44a
hex52bf1eb74

22212111220 has 48 divisors (see below), whose sum is σ = 50320943568. Its totient is φ = 8187125760.

The previous prime is 22212111211. The next prime is 22212111221. The reversal of 22212111220 is 2211121222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 169364196 + 22042747024 = 13014^2 + 148468^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22212111194 and 22212111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22212111221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75990 + ... + 224050.

It is an arithmetic number, because the mean of its divisors is an integer number (1048352991).

Almost surely, 222212111220 is an apocalyptic number.

22212111220 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 22212111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25160471784).

22212111220 is an abundant number, since it is smaller than the sum of its proper divisors (28108832348).

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

22212111220 is a wasteful number, since it uses less digits than its factorization.

22212111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148660 (or 148658 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22212111220 its reverse (2211121222), we get a palindrome (24423232442).

The spelling of 22212111220 in words is "twenty-two billion, two hundred twelve million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 577 1154 2308 2885 5770 7501 11540 15002 30004 37505 75010 148061 150020 296122 592244 740305 1480610 1924793 2961220 3849586 7699172 9623965 19247930 38495860 85431197 170862394 341724788 427155985 854311970 1110605561 1708623940 2221211122 4442422244 5553027805 11106055610 22212111220