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2212987392 = 293672112
BaseRepresentation
bin1000001111100111…
…1000001000000000
312201020010102000000
42003321320020000
514013011044032
61003332000000
7105561040200
oct20371701000
95636112000
102212987392
11a361a0200
12519160000
1329362abc5
1416dc9c400
15ce434e7c
hex83e78200

2212987392 has 630 divisors, whose sum is σ = 8476611759. Its totient is φ = 574801920.

The previous prime is 2212987379. The next prime is 2212987409. The reversal of 2212987392 is 2937892122.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1106493696 + 1106493696 = 33264^2 + 33264^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33264.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (217728) is a multiple of the sum of its prime factors (72).

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 62 ways as a sum of consecutive naturals, for example, 201180667 + ... + 201180677.

Almost surely, 22212987392 is an apocalyptic number.

2212987392 is a gapful number since it is divisible by the number (22) 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 2212987392

2212987392 is an abundant number, since it is smaller than the sum of its proper divisors (6263624367).

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

2212987392 is an frugal number, since it uses more digits than its factorization.

2212987392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 23 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2212987392 is about 47042.3999387786. The cubic root of 2212987392 is about 1303.1457136814.

The spelling of 2212987392 in words is "two billion, two hundred twelve million, nine hundred eighty-seven thousand, three hundred ninety-two".