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2323297152 = 2732111391319
BaseRepresentation
bin1000101001111010…
…1011001110000000
312222220200201112200
42022132223032000
514224231002102
61022312153200
7111400462041
oct21236531600
95886621480
102323297152
11a924935a0
1254a098800
132b0441257
141807b48c8
15d8e7451c
hex8a7ab380

2323297152 has 192 divisors, whose sum is σ = 7351344000. Its totient is φ = 698434560.

The previous prime is 2323297087. The next prime is 2323297187. The reversal of 2323297152 is 2517923232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×23232971522 = 10795419312982622208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1760749 + ... + 1762067.

It is an arithmetic number, because the mean of its divisors is an integer number (38288250).

Almost surely, 22323297152 is an apocalyptic number.

2323297152 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 2323297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675672000).

2323297152 is an abundant number, since it is smaller than the sum of its proper divisors (5028046848).

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

2323297152 is a wasteful number, since it uses less digits than its factorization.

2323297152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1474 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 2323297152 is about 48200.5928594245. The cubic root of 2323297152 is about 1324.4480248874.

The spelling of 2323297152 in words is "two billion, three hundred twenty-three million, two hundred ninety-seven thousand, one hundred fifty-two".