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201222100992 = 21131117434073
BaseRepresentation
bin1011101101100111000…
…1011001100000000000
3201020101111212211220010
42323121301121200000
511244100324212432
6232235023544520
720352320431443
oct2733161314000
9636344784803
10201222100992
11783796a2820
1232bb8a5b140
1315c8a581163
149a4c52565a
15537a8c83cc
hex2ed9c59800

201222100992 has 384 divisors, whose sum is σ = 634222068480. Its totient is φ = 56041144320.

The previous prime is 201222100969. The next prime is 201222101011. The reversal of 201222100992 is 299001222102.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49401868 + ... + 49405940.

It is an arithmetic number, because the mean of its divisors is an integer number (1651619970).

Almost surely, 2201222100992 is an apocalyptic number.

201222100992 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 201222100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317111034240).

201222100992 is an abundant number, since it is smaller than the sum of its proper divisors (432999967488).

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

201222100992 is a wasteful number, since it uses less digits than its factorization.

201222100992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 201222100992 in words is "two hundred one billion, two hundred twenty-two million, one hundred thousand, nine hundred ninety-two".