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22250040164352 = 21532711132329113
BaseRepresentation
bin1010000111100011111011…
…01111011000000000000000
32220210002020112222202212200
411003301331233120000000
510404021040240224402
6115153305523353200
74454340510610650
oct503617557300000
986702215882780
1022250040164352
1170a9209685150
1225b4259522800
13c5522902a580
1456cc9c9b6360
15288b9446321c
hex143c7dbd8000

22250040164352 has 3072 divisors, whose sum is σ = 93983858841600. Its totient is φ = 4883176488960.

The previous prime is 22250040164351. The next prime is 22250040164393. The reversal of 22250040164352 is 25346104005222.

22250040164352 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 0 + 0 + 4 + 0 + 1 + 643 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22250040164351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 196903010248 + ... + 196903010360.

It is an arithmetic number, because the mean of its divisors is an integer number (30593704050).

Almost surely, 222250040164352 is an apocalyptic number.

22250040164352 is a gapful number since it is divisible by the number (22) 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 22250040164352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46991929420800).

22250040164352 is an abundant number, since it is smaller than the sum of its proper divisors (71733818677248).

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

22250040164352 is a wasteful number, since it uses less digits than its factorization.

22250040164352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 22250040164352 its reverse (25346104005222), we get a palindrome (47596144169574).

The spelling of 22250040164352 in words is "twenty-two trillion, two hundred fifty billion, forty million, one hundred sixty-four thousand, three hundred fifty-two".