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2231297280 = 2834521521
BaseRepresentation
bin1000010011111110…
…1110010100000000
312202111120122110000
42010333232110000
514032203003110
61005224240000
7106202466612
oct20477562400
95674518400
102231297280
11a45566743
12523310000
1329736bc64
141724a6db2
15d0d501c0
hex84fee500

2231297280 has 180 divisors, whose sum is σ = 7984360692. Its totient is φ = 594984960.

The previous prime is 2231297279. The next prime is 2231297293. The reversal of 2231297280 is 827921322.

It can be written as a sum of positive squares in 2 ways, for example, as 976437504 + 1254859776 = 31248^2 + 35424^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×22312972803 (a number of 29 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 92920 + ... + 114440.

Almost surely, 22231297280 is an apocalyptic number.

2231297280 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 2231297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992180346).

2231297280 is an abundant number, since it is smaller than the sum of its proper divisors (5753063412).

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

2231297280 is an equidigital number, since it uses as much as digits as its factorization.

2231297280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21554 (or 21531 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2231297280 is about 47236.6095311677. The cubic root of 2231297280 is about 1306.7298502466.

The spelling of 2231297280 in words is "two billion, two hundred thirty-one million, two hundred ninety-seven thousand, two hundred eighty".