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2252206080 = 2123354073
BaseRepresentation
bin1000011000111101…
…1111000000000000
312210221220220221000
42012033133000000
514103031043310
61011252332000
7106545302325
oct20617370000
95727826830
102252206080
11a56347843
1252a314000
1329b7acc27
1417518ab4c
15d2ad04c0
hex863df000

2252206080 has 208 divisors, whose sum is σ = 8008832160. Its totient is φ = 600440832.

The previous prime is 2252206063. The next prime is 2252206093. The reversal of 2252206080 is 806022522.

2252206080 is a `hidden beast` number, since 2 + 2 + 52 + 2 + 0 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550924 + ... + 554996.

Almost surely, 22252206080 is an apocalyptic number.

2252206080 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 2252206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004416080).

2252206080 is an abundant number, since it is smaller than the sum of its proper divisors (5756626080).

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

2252206080 is an equidigital number, since it uses as much as digits as its factorization.

2252206080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4111 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2252206080 is about 47457.4133302691. The cubic root of 2252206080 is about 1310.7988212995.

The spelling of 2252206080 in words is "two billion, two hundred fifty-two million, two hundred six thousand, eighty".