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2170552020 = 223574131961
BaseRepresentation
bin1000000101011111…
…1111111011010100
312121021021110121120
42001113333323110
513421130131040
6555214243540
7104534250000
oct20127777324
95537243546
102170552020
11a1424694a
12506ab65b0
132878c0a10
141683b3700
15ca8517d0
hex815ffed4

2170552020 has 480 divisors, whose sum is σ = 8169060480. Its totient is φ = 426746880.

The previous prime is 2170552019. The next prime is 2170552057. The reversal of 2170552020 is 202550712.

It is a super-2 number, since 2×21705520202 = 9422592143052160800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35582790 + ... + 35582850.

It is an arithmetic number, because the mean of its divisors is an integer number (17018876).

Almost surely, 22170552020 is an apocalyptic number.

2170552020 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 2170552020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084530240).

2170552020 is an abundant number, since it is smaller than the sum of its proper divisors (5998508460).

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

2170552020 is a wasteful number, since it uses less digits than its factorization.

2170552020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 2170552020 is about 46589.1835086214. The cubic root of 2170552020 is about 1294.7623620440.

The spelling of 2170552020 in words is "two billion, one hundred seventy million, five hundred fifty-two thousand, twenty".