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22122210000 = 2435411431559
BaseRepresentation
bin10100100110100101…
…100010001011010000
32010002201211201002010
4110212211202023100
5330301241210000
614055055422520
71412131453032
oct244645421320
963081751063
1022122210000
119422457890
124354824a40
132117270ab7
1410dc0b3c52
1589721dd50
hex5269622d0

22122210000 has 400 divisors, whose sum is σ = 79768465920. Its totient is φ = 5234880000.

The previous prime is 22122209971. The next prime is 22122210001. The reversal of 22122210000 is 1222122.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122210001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14189221 + ... + 14190779.

Almost surely, 222122210000 is an apocalyptic number.

22122210000 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 22122210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39884232960).

22122210000 is an abundant number, since it is smaller than the sum of its proper divisors (57646255920).

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

22122210000 is a wasteful number, since it uses less digits than its factorization.

22122210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22122210000 its reverse (1222122), we get a palindrome (22123432122).

The spelling of 22122210000 in words is "twenty-two billion, one hundred twenty-two million, two hundred ten thousand".