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22126002220 = 2257375383971
BaseRepresentation
bin10100100110110100…
…000000000000101100
32010002222222101000201
4110212310000000230
5330303224032340
614055313003244
71412205626050
oct244664000054
963088871021
1022126002220
119424607a53
124355b53524
132117c9ac0a
1410dc7bdc60
1589771c79a
hex526d0002c

22126002220 has 192 divisors, whose sum is σ = 56294009856. Its totient is φ = 7147146240.

The previous prime is 22126002211. The next prime is 22126002221. The reversal of 22126002220 is 2220062122.

It is not an unprimeable number, because it can be changed into a prime (22126002221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22786335 + ... + 22787305.

It is an arithmetic number, because the mean of its divisors is an integer number (293197968).

Almost surely, 222126002220 is an apocalyptic number.

22126002220 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 22126002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28147004928).

22126002220 is an abundant number, since it is smaller than the sum of its proper divisors (34168007636).

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

22126002220 is a wasteful number, since it uses less digits than its factorization.

22126002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 22126002220 its reverse (2220062122), we get a palindrome (24346064342).

The spelling of 22126002220 in words is "twenty-two billion, one hundred twenty-six million, two thousand, two hundred twenty".