Search a number
-
+
2229861504 = 273132973211
BaseRepresentation
bin1000010011101000…
…1111110010000000
312202101212200221010
42010322033302000
514031321032004
61005133400520
7106154336643
oct20472176200
95671780833
102229861504
11a44775a52
12522939140
13296c885a0
14172211a5a
15d0b69a89
hex84e8fc80

2229861504 has 256 divisors, whose sum is σ = 6720739200. Its totient is φ = 650280960.

The previous prime is 2229861503. The next prime is 2229861509. The reversal of 2229861504 is 4051689222.

It is a super-2 number, since 2×22298615042 = 9944564654042284032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2229861503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10567959 + ... + 10568169.

Almost surely, 22229861504 is an apocalyptic number.

2229861504 is a gapful number since it is divisible by the number (24) 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 2229861504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360369600).

2229861504 is an abundant number, since it is smaller than the sum of its proper divisors (4490877696).

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

2229861504 is a wasteful number, since it uses less digits than its factorization.

2229861504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2229861504 is about 47221.4093817624. The cubic root of 2229861504 is about 1306.4495090091.

The spelling of 2229861504 in words is "two billion, two hundred twenty-nine million, eight hundred sixty-one thousand, five hundred four".