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2152012500 = 223255113747
BaseRepresentation
bin1000000001000101…
…0001101011010100
312112222101120011200
42000101101223110
513401403400000
6553313032500
7104220542631
oct20021215324
95488346150
102152012500
11a04833930
12500855730
13283acc2a1
14165b49188
15c8ddd500
hex80451ad4

2152012500 has 432 divisors, whose sum is σ = 7780002048. Its totient is φ = 496800000.

The previous prime is 2152012493. The next prime is 2152012517. The reversal of 2152012500 is 52102512.

2152012500 is a `hidden beast` number, since 2 + 152 + 0 + 12 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45787477 + ... + 45787523.

It is an arithmetic number, because the mean of its divisors is an integer number (18009264).

Almost surely, 22152012500 is an apocalyptic number.

2152012500 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 2152012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890001024).

2152012500 is an abundant number, since it is smaller than the sum of its proper divisors (5627989548).

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

2152012500 is a wasteful number, since it uses less digits than its factorization.

2152012500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2152012500 is about 46389.7887470939. The cubic root of 2152012500 is about 1291.0654619176.

It can be divided in two parts, 2152012 and 500, that added together give a palindrome (2152512).

The spelling of 2152012500 in words is "two billion, one hundred fifty-two million, twelve thousand, five hundred".