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22102021200 = 2435275035231
BaseRepresentation
bin10100100101011000…
…100001010001010000
32010001022212000020210
4110211120201101100
5330231104134300
614053055004120
71411465036410
oct244530412120
963038760223
1022102021200
119412018726
124349b09640
13211302276c
1410d953a640
15895582050
hex525621450

22102021200 has 240 divisors, whose sum is σ = 81090809856. Its totient is φ = 5040883200.

The previous prime is 22102021163. The next prime is 22102021217. The reversal of 22102021200 is 212020122.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×221020212002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4222585 + ... + 4227815.

Almost surely, 222102021200 is an apocalyptic number.

22102021200 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 22102021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40545404928).

22102021200 is an abundant number, since it is smaller than the sum of its proper divisors (58988788656).

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

22102021200 is a wasteful number, since it uses less digits than its factorization.

22102021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5762 (or 5751 counting only the distinct ones).

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

Adding to 22102021200 its reverse (212020122), we get a palindrome (22314041322).

The spelling of 22102021200 in words is "twenty-two billion, one hundred two million, twenty-one thousand, two hundred".