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2227230720 = 21132511133
BaseRepresentation
bin1000010011000000…
…1101100000000000
312202012221001011200
42010300031200000
514030132340340
61005001141200
7106123102011
oct20460154000
95665831150
102227230720
11a43239450
12521a8a800
13296577000
14171b29008
15d07ea330
hex84c0d800

2227230720 has 576 divisors, whose sum is σ = 9122349600. Its totient is φ = 498401280.

The previous prime is 2227230671. The next prime is 2227230727. The reversal of 2227230720 is 270327222.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×22272307202 = 9921113360223436800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2227230727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171325434 + ... + 171325446.

Almost surely, 22227230720 is an apocalyptic number.

2227230720 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 2227230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561174800).

2227230720 is an abundant number, since it is smaller than the sum of its proper divisors (6895118880).

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

2227230720 is a wasteful number, since it uses less digits than its factorization.

2227230720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 2227230720 is about 47193.5453213678. The cubic root of 2227230720 is about 1305.9355250696.

Adding to 2227230720 its reverse (270327222), we get a palindrome (2497557942).

The spelling of 2227230720 in words is "two billion, two hundred twenty-seven million, two hundred thirty thousand, seven hundred twenty".