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2196984384 = 263672312
BaseRepresentation
bin1000001011110011…
…0101001001000000
312200010000101000000
42002330311021000
513444412000014
61002001000000
7105305026200
oct20274651100
95603011000
102196984384
11a2815a981
12513923000
13290216b7a
1416bad4400
15ccd23509
hex82f35240

2196984384 has 441 divisors, whose sum is σ = 7856841411. Its totient is φ = 607461120.

The previous prime is 2196984379. The next prime is 2196984397. The reversal of 2196984384 is 4834896912.

The square root of 2196984384 is 46872.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (441).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2196984384.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 70870449 + ... + 70870479.

Almost surely, 22196984384 is an apocalyptic number.

2196984384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2196984384 is the 46872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2196984384

2196984384 is an abundant number, since it is smaller than the sum of its proper divisors (5659857027).

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

2196984384 is an frugal number, since it uses more digits than its factorization.

2196984384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 43 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The cubic root of 2196984384 is about 1299.9969199138.

The spelling of 2196984384 in words is "two billion, one hundred ninety-six million, nine hundred eighty-four thousand, three hundred eighty-four".