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10228368150 = 2355271113292
BaseRepresentation
bin10011000011010100…
…01000001100010110
3222101211110221100000
421201222020030112
5131421430240100
64410541232130
7511316460210
oct114152101426
928354427300
1010228368150
114379713420
121b95562646
13c700c7a60
146d060b5b0
153ece6c900
hex261a88316

10228368150 has 864 divisors, whose sum is σ = 39627963648. Its totient is φ = 1894233600.

The previous prime is 10228368149. The next prime is 10228368151. The reversal of 10228368150 is 5186382201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10228368149) and next prime (10228368151).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10228368151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 352702336 + ... + 352702364.

Almost surely, 210228368150 is an apocalyptic number.

10228368150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10228368150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813981824).

10228368150 is an abundant number, since it is smaller than the sum of its proper divisors (29399595498).

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

10228368150 is a wasteful number, since it uses less digits than its factorization.

10228368150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10228368150 in words is "ten billion, two hundred twenty-eight million, three hundred sixty-eight thousand, one hundred fifty".