Search a number
-
+
2281464360 = 233357307983
BaseRepresentation
bin1000011111111100…
…0110001000101000
312212222222101202000
42013333012020220
514133023324420
61014215411000
7110352061410
oct20777061050
95788871660
102281464360
11a70910a3a
12538083a60
132a4885416
14179005640
15d545e690
hex87fc6228

2281464360 has 256 divisors, whose sum is σ = 8728473600. Its totient is φ = 519250176.

The previous prime is 2281464343. The next prime is 2281464377. The reversal of 2281464360 is 634641822.

2281464360 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 4 + 643 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2281464343) and next prime (2281464377).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2320429 + ... + 2321411.

It is an arithmetic number, because the mean of its divisors is an integer number (34095600).

Almost surely, 22281464360 is an apocalyptic number.

2281464360 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 2281464360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364236800).

2281464360 is an abundant number, since it is smaller than the sum of its proper divisors (6447009240).

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

2281464360 is a wasteful number, since it uses less digits than its factorization.

2281464360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2281464360 is about 47764.6769066849. The cubic root of 2281464360 is about 1316.4505883373.

The spelling of 2281464360 in words is "two billion, two hundred eighty-one million, four hundred sixty-four thousand, three hundred sixty".