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22141110000 = 243543672011
BaseRepresentation
bin10100100111101101…
…101000011011110000
32010011001101221000010
4110213231220123300
5330321111010000
614101012454520
71412451221052
oct244755503360
963131357003
1022141110000
119432096719
12435b01a440
13211b15a629
1411007d38d2
15898c03d50
hex527b686f0

22141110000 has 200 divisors, whose sum is σ = 71704847104. Its totient is φ = 5885280000.

The previous prime is 22141109989. The next prime is 22141110007. The reversal of 22141110000 is 1114122.

It is a happy number.

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

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 (22141110007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11008995 + ... + 11011005.

Almost surely, 222141110000 is an apocalyptic number.

22141110000 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 22141110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35852423552).

22141110000 is an abundant number, since it is smaller than the sum of its proper divisors (49563737104).

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

22141110000 is a wasteful number, since it uses less digits than its factorization.

22141110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22141110000 its reverse (1114122), we get a palindrome (22142224122).

The spelling of 22141110000 in words is "twenty-two billion, one hundred forty-one million, one hundred ten thousand".