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22010310000 = 243254732331
BaseRepresentation
bin10100011111111010…
…101010110101110000
32002210221021121010200
4110133322222311300
5330034114410000
614040021155200
71406302356000
oct243772526560
962727247120
1022010310000
119375278748
12432325bb00
1320ca021993
1410cb2a6000
1588c4b8500
hex51feaad70

22010310000 has 1200 divisors, whose sum is σ = 96689049600. Its totient is φ = 4656960000.

The previous prime is 22010309999. The next prime is 22010310017. The reversal of 22010310000 is 1301022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×220103100002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 710009985 + ... + 710010015.

It is an arithmetic number, because the mean of its divisors is an integer number (80574208).

Almost surely, 222010310000 is an apocalyptic number.

22010310000 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 22010310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48344524800).

22010310000 is an abundant number, since it is smaller than the sum of its proper divisors (74678739600).

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

22010310000 is a wasteful number, since it uses less digits than its factorization.

22010310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 22010310000 its reverse (1301022), we get a palindrome (22011611022).

The spelling of 22010310000 in words is "twenty-two billion, ten million, three hundred ten thousand".