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22001112000 = 263353714551
BaseRepresentation
bin10100011111010111…
…100101001111000000
32002210021222021212000
4110133113211033000
5330024241041000
614035052104000
71406131236450
oct243727451700
962707867760
1022001112000
11937006609a
124320165000
1320c815118a
1410c9d8dd60
1588b79d000
hex51f5e53c0

22001112000 has 448 divisors, whose sum is σ = 92257351680. Its totient is φ = 5028480000.

The previous prime is 22001111971. The next prime is 22001112011. The reversal of 22001112000 is 21110022.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 1504725 + ... + 1519275.

Almost surely, 222001112000 is an apocalyptic number.

22001112000 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 22001112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46128675840).

22001112000 is an abundant number, since it is smaller than the sum of its proper divisors (70256239680).

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

22001112000 is a wasteful number, since it uses less digits than its factorization.

22001112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14594 (or 14568 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22001112000 its reverse (21110022), we get a palindrome (22022222022).

The spelling of 22001112000 in words is "twenty-two billion, one million, one hundred twelve thousand".