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2263230720 = 2834583263
BaseRepresentation
bin1000011011100110…
…0010100100000000
312211201200000220000
42012321202210000
514113341340340
61012324520000
7110041100202
oct20671424400
95751600800
102263230720
11a61597813
12531b50000
132a0b6cc9a
1417681a772
15d3a5bd30
hex86e62900

2263230720 has 360 divisors, whose sum is σ = 8226985536. Its totient is φ = 593989632.

The previous prime is 2263230707. The next prime is 2263230779. The reversal of 2263230720 is 270323622.

2263230720 is a `hidden beast` number, since 2 + 2 + 632 + 3 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8605309 + ... + 8605571.

Almost surely, 22263230720 is an apocalyptic number.

2263230720 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 2263230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113492768).

2263230720 is an abundant number, since it is smaller than the sum of its proper divisors (5963754816).

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

2263230720 is an equidigital number, since it uses as much as digits as its factorization.

2263230720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 2263230720 is about 47573.4245141129. The cubic root of 2263230720 is about 1312.9341453583.

The spelling of 2263230720 in words is "two billion, two hundred sixty-three million, two hundred thirty thousand, seven hundred twenty".