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2232000000 = 29325631
BaseRepresentation
bin1000010100001001…
…1001111000000000
312202112220100101200
42011002121320000
514032343000000
61005251301200
7106211454426
oct20502317000
95675810350
102232000000
11a459a66aa
125235aa800
13297556a79
1417260b116
15d0e3d500
hex85099e00

2232000000 has 420 divisors, whose sum is σ = 8311768608. Its totient is φ = 576000000.

The previous prime is 2231999999. The next prime is 2232000019. The reversal of 2232000000 is 2322.

It is a super-3 number, since 3×22320000003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 71999985 + ... + 72000015.

Almost surely, 22232000000 is an apocalyptic number.

2232000000 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 2232000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155884304).

2232000000 is an abundant number, since it is smaller than the sum of its proper divisors (6079768608).

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

2232000000 is an frugal number, since it uses more digits than its factorization.

2232000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2232000000 is about 47244.0472440709. The cubic root of 2232000000 is about 1306.8670154175.

Adding to 2232000000 its reverse (2322), we get a palindrome (2232002322).

The spelling of 2232000000 in words is "two billion, two hundred thirty-two million", and thus it is an aban number.