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2732255680 = 26573113173
BaseRepresentation
bin1010001011011010…
…1110100111000000
321001102012222011211
42202312232213000
521043424140210
61131041415504
7124464535000
oct24266564700
97042188154
102732255680
111182318150
1264303a594
1334709b34b
141bcc2c000
1510ed0738a
hexa2dae9c0

2732255680 has 448 divisors, whose sum is σ = 8661196800. Its totient is φ = 812851200.

The previous prime is 2732255633. The next prime is 2732255681. The reversal of 2732255680 is 865522372.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×27322556802 = 14930442201784524800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2732255681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37428124 + ... + 37428196.

Almost surely, 22732255680 is an apocalyptic number.

2732255680 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 2732255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330598400).

2732255680 is an abundant number, since it is smaller than the sum of its proper divisors (5928941120).

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

2732255680 is a wasteful number, since it uses less digits than its factorization.

2732255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 2732255680 is about 52270.9831550928. The cubic root of 2732255680 is about 1397.9998103428. Note that the first 3 decimals are identical.

The spelling of 2732255680 in words is "two billion, seven hundred thirty-two million, two hundred fifty-five thousand, six hundred eighty".