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2162442612 = 22311235389151
BaseRepresentation
bin1000000011100100…
…0100000101110100
312120201000110121010
42000321010011310
513412041130422
6554324352220
7104405313261
oct20071040564
95521013533
102162442612
11a0a708160
12504245670
13286011855
141672a2268
15c9c9db0c
hex80e44174

2162442612 has 192 divisors, whose sum is σ = 5957038080. Its totient is φ = 604032000.

The previous prime is 2162442587. The next prime is 2162442613.

2162442612 is nontrivially palindromic in base 10.

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 2162442612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162442613) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 14320737 + ... + 14320887.

It is an arithmetic number, because the mean of its divisors is an integer number (31026240).

Almost surely, 22162442612 is an apocalyptic number.

2162442612 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 2162442612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978519040).

2162442612 is an abundant number, since it is smaller than the sum of its proper divisors (3794595468).

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

2162442612 is a wasteful number, since it uses less digits than its factorization.

2162442612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 332 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 2162442612 is about 46502.0710506532. The cubic root of 2162442612 is about 1293.1478941684.

The spelling of 2162442612 in words is "two billion, one hundred sixty-two million, four hundred forty-two thousand, six hundred twelve".