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22002000020 = 225711134767349
BaseRepresentation
bin10100011111011010…
…111110000010010100
32002210100122101222122
4110133122332002110
5330030003000040
614035123115112
71406141625440
oct243732760224
962710571878
1022002000020
1193706122a0
124320512a98
1320c83a2430
1410ca141820
1588b8c61b5
hex51f6be094

22002000020 has 384 divisors, whose sum is σ = 64486195200. Its totient is φ = 6085601280.

The previous prime is 22001999983. The next prime is 22002000023. The reversal of 22002000020 is 2000020022.

It is a junction number, because it is equal to n+sod(n) for n = 22001999971 and 22002000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002000023) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63042806 + ... + 63043154.

It is an arithmetic number, because the mean of its divisors is an integer number (167932800).

Almost surely, 222002000020 is an apocalyptic number.

22002000020 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 22002000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32243097600).

22002000020 is an abundant number, since it is smaller than the sum of its proper divisors (42484195180).

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

22002000020 is a wasteful number, since it uses less digits than its factorization.

22002000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 22002000020 its reverse (2000020022), we get a palindrome (24002020042).

The spelling of 22002000020 in words is "twenty-two billion, two million, twenty", and thus it is an aban number and an uban number.