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2097155520 = 26325977507
BaseRepresentation
bin111110100000000…
…0000110111000000
312102011011112112200
41331000000313000
513243332434040
6544033153200
7102653346015
oct17500006700
95364145480
102097155520
11986875a89
124a63bb800
13275633235
1415c74970c
15c41a4630
hex7d000dc0

2097155520 has 168 divisors, whose sum is σ = 7288676304. Its totient is φ = 553402368.

The previous prime is 2097155519. The next prime is 2097155521. The reversal of 2097155520 is 255517902.

2097155520 is a `hidden beast` number, since 2 + 0 + 97 + 15 + 552 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2097155519) and next prime (2097155521).

It is a super-2 number, since 2×20971555202 = 8796122550132940800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097155521) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 275607 + ... + 283113.

It is an arithmetic number, because the mean of its divisors is an integer number (43384978).

Almost surely, 22097155520 is an apocalyptic number.

2097155520 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 2097155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644338152).

2097155520 is an abundant number, since it is smaller than the sum of its proper divisors (5191520784).

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

2097155520 is a wasteful number, since it uses less digits than its factorization.

2097155520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7627 (or 7614 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 2097155520 is about 45794.7106115979. The cubic root of 2097155520 is about 1280.0007161454. Note that the first 3 decimals are identical.

The spelling of 2097155520 in words is "two billion, ninety-seven million, one hundred fifty-five thousand, five hundred twenty".