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2552114500 = 2253132343397
BaseRepresentation
bin1001100000011110…
…0010110101000100
320120212020211221021
42120013202311010
520211320131000
61101124400524
7120146421025
oct23007426504
96525224837
102552114500
11109a669441
125b2846144
13318978130
141a2d38c4c
15ee0c211a
hex981e2d44

2552114500 has 192 divisors, whose sum is σ = 6425362944. Its totient is φ = 878169600.

The previous prime is 2552114497. The next prime is 2552114503. The reversal of 2552114500 is 54112552.

It is an interprime number because it is at equal distance from previous prime (2552114497) and next prime (2552114503).

It is a super-2 number, since 2×25521145002 = 13026576842220500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2552114503) 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 63 ways as a sum of consecutive naturals, for example, 6428302 + ... + 6428698.

It is an arithmetic number, because the mean of its divisors is an integer number (33465432).

Almost surely, 22552114500 is an apocalyptic number.

2552114500 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 2552114500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212681472).

2552114500 is an abundant number, since it is smaller than the sum of its proper divisors (3873248444).

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

2552114500 is a wasteful number, since it uses less digits than its factorization.

2552114500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 2552114500 is about 50518.4570231514. The cubic root of 2552114500 is about 1366.5747277698.

The spelling of 2552114500 in words is "two billion, five hundred fifty-two million, one hundred fourteen thousand, five hundred".