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22011010000 = 24547383821
BaseRepresentation
bin10100011111111101…
…010101101111010000
32002210222121011100121
4110133331111233100
5330034304310000
614040044200024
71406311332550
oct243775255720
962728534317
1022011010000
119375706661
124323539014
1320ca208495
1410cb409160
1588c5a5b1a
hex51ff55bd0

22011010000 has 200 divisors, whose sum is σ = 61137229824. Its totient is φ = 7517760000.

The previous prime is 22011009961. The next prime is 22011010019. The reversal of 22011010000 is 1011022.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×220110100002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26809590 + ... + 26810410.

Almost surely, 222011010000 is an apocalyptic number.

22011010000 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 22011010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30568614912).

22011010000 is an abundant number, since it is smaller than the sum of its proper divisors (39126219824).

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

22011010000 is an equidigital number, since it uses as much as digits as its factorization.

22011010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 22011010000 its reverse (1011022), we get a palindrome (22012021022).

The spelling of 22011010000 in words is "twenty-two billion, eleven million, ten thousand".