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21227069952 = 293411193179
BaseRepresentation
bin10011110001001110…
…110110001000000000
32000210100110212210000
4103301032312020000
5321433112214302
613430201440000
71351012055214
oct236116661000
960710425700
1021227069952
119003144920
124144aa0000
13200398952a
141055260944
1584385231c
hex4f13b6200

21227069952 has 800 divisors, whose sum is σ = 76052275200. Its totient is φ = 5822668800.

The previous prime is 21227069951. The next prime is 21227069987. The reversal of 21227069952 is 25996072212.

It is a junction number, because it is equal to n+sod(n) for n = 21227069898 and 21227069907.

It is not an unprimeable number, because it can be changed into a prime (21227069951) 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, 268697049 + ... + 268697127.

It is an arithmetic number, because the mean of its divisors is an integer number (95065344).

Almost surely, 221227069952 is an apocalyptic number.

21227069952 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 21227069952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38026137600).

21227069952 is an abundant number, since it is smaller than the sum of its proper divisors (54825205248).

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

21227069952 is a wasteful number, since it uses less digits than its factorization.

21227069952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 21227069952 in words is "twenty-one billion, two hundred twenty-seven million, sixty-nine thousand, nine hundred fifty-two".