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2168375352 = 23311133189229
BaseRepresentation
bin1000000100111110…
…1100100000111000
312121010011212210020
42001033230200320
513420101002402
6555055450440
7104506613013
oct20117544070
95533155706
102168375352
11a12a9a550
12506226a20
1328730b050
14167da837a
15ca5718bc
hex813ec838

2168375352 has 256 divisors, whose sum is σ = 6676992000. Its totient is φ = 577843200.

The previous prime is 2168375351. The next prime is 2168375359. The reversal of 2168375352 is 2535738612.

It is a happy number.

It is a super-2 number, since 2×21683753522 = 9403703334322247808, which contains 22 as substring.

Its product of digits (302400) is a multiple of the sum of its prime divisors (378).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168375351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9468774 + ... + 9469002.

It is an arithmetic number, because the mean of its divisors is an integer number (26082000).

Almost surely, 22168375352 is an apocalyptic number.

2168375352 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 2168375352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338496000).

2168375352 is an abundant number, since it is smaller than the sum of its proper divisors (4508616648).

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

2168375352 is a wasteful number, since it uses less digits than its factorization.

2168375352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 378 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 2168375352 is about 46565.8174200776. The cubic root of 2168375352 is about 1294.3294137479.

The spelling of 2168375352 in words is "two billion, one hundred sixty-eight million, three hundred seventy-five thousand, three hundred fifty-two".