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21956830350 = 235271319312731
BaseRepresentation
bin10100011100101110…
…101010010010001110
32002200012122112211220
4110130232222102032
5324431422032400
614030431024210
71405052656440
oct243456522216
962605575756
1021956830350
119348070694
12430936b066
1320bbc18810
1410c4144490
158879527a0
hex51cbaa48e

21956830350 has 384 divisors, whose sum is σ = 72848670720. Its totient is φ = 4245696000.

The previous prime is 21956830321. The next prime is 21956830387. The reversal of 21956830350 is 5303865912.

It is a super-2 number, since 2×219568303502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8038485 + ... + 8041215.

It is an arithmetic number, because the mean of its divisors is an integer number (189710080).

Almost surely, 221956830350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21956830350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36424335360).

21956830350 is an abundant number, since it is smaller than the sum of its proper divisors (50891840370).

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

21956830350 is a wasteful number, since it uses less digits than its factorization.

21956830350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 21956830350 in words is "twenty-one billion, nine hundred fifty-six million, eight hundred thirty thousand, three hundred fifty".