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23146895700 = 2232521743151233
BaseRepresentation
bin10101100011101010…
…011001100101010100
32012202010222010121100
4111203222121211110
5334401101130300
614344502150100
71446413236635
oct254352314524
965663863540
1023146895700
1198a8901375
12459ba22330
13224b6420b6
14119820988c
15907179700
hex563a99954

23146895700 has 432 divisors, whose sum is σ = 79467163776. Its totient is φ = 5612544000.

The previous prime is 23146895677. The next prime is 23146895713. The reversal of 23146895700 is 759864132.

23146895700 is a `hidden beast` number, since 2 + 3 + 14 + 68 + 9 + 570 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 99342784 + ... + 99343016.

It is an arithmetic number, because the mean of its divisors is an integer number (183951768).

It is a 1-persistent number, because it is pandigital, but 2⋅23146895700 = 46293791400 is not.

Almost surely, 223146895700 is an apocalyptic number.

23146895700 is a gapful number since it is divisible by the number (20) 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 23146895700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39733581888).

23146895700 is an abundant number, since it is smaller than the sum of its proper divisors (56320268076).

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

23146895700 is a wasteful number, since it uses less digits than its factorization.

23146895700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 23146895700 in words is "twenty-three billion, one hundred forty-six million, eight hundred ninety-five thousand, seven hundred".