Search a number
BaseRepresentation
bin1000001111101001…
…1001000100010000
312201020101021002100
42003322121010100
514013024403240
61003334520400
7105562141443
oct20372310420
95636337070
102213122320
11a36282612
12519206100
13293677446
1416dcd565a
15ce45ee30
hex83e99110

2213122320 has 120 divisors (see below), whose sum is σ = 7491234816. Its totient is φ = 585494784.

The previous prime is 2213122297. The next prime is 2213122349. The reversal of 2213122320 is 232213122.

2213122320 is a `hidden beast` number, since 221 + 3 + 122 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2213122293 and 2213122302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79339 + ... + 103541.

Almost surely, 22213122320 is an apocalyptic number.

2213122320 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 2213122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745617408).

2213122320 is an abundant number, since it is smaller than the sum of its proper divisors (5278112496).

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

2213122320 is a wasteful number, since it uses less digits than its factorization.

2213122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24349 (or 24340 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2213122320 is about 47043.8340274260. The cubic root of 2213122320 is about 1303.1721978316.

Adding to 2213122320 its reverse (232213122), we get a palindrome (2445335442).

The spelling of 2213122320 in words is "two billion, two hundred thirteen million, one hundred twenty-two thousand, three hundred twenty".