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220130032320 = 2634511772061
BaseRepresentation
bin1100110100000011000…
…1011011101011000000
3210001012020111021120000
43031000301123223000
512101311242013240
6245043142320000
721622012254612
oct3150061335300
9701166437500
10220130032320
11853a1734450
12367b5129000
13179b19241c3
14a923774db2
155ad5828430
hex3340c5bac0

220130032320 has 280 divisors, whose sum is σ = 854227926288. Its totient is φ = 53364787200.

The previous prime is 220130032231. The next prime is 220130032403. The reversal of 220130032320 is 23230031022.

It is a happy number.

220130032320 is a `hidden beast` number, since 2 + 20 + 1 + 300 + 323 + 20 = 666.

It is a super-2 number, since 2×2201300323202 (a number of 23 digits) contains 22 as substring.

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 = 220130032293 and 220130032302.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100911 + ... + 671150.

Almost surely, 2220130032320 is an apocalyptic number.

220130032320 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 220130032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427113963144).

220130032320 is an abundant number, since it is smaller than the sum of its proper divisors (634097893968).

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

220130032320 is a wasteful number, since it uses less digits than its factorization.

220130032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772101 (or 772082 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 220130032320 its reverse (23230031022), we get a palindrome (243360063342).

The spelling of 220130032320 in words is "two hundred twenty billion, one hundred thirty million, thirty-two thousand, three hundred twenty".