Search a number
-
+
2329699072 = 2823217203
BaseRepresentation
bin1000101011011100…
…0110001100000000
320000100201222022211
42022313012030000
514232400332242
61023101311504
7111506054401
oct21267061400
96010658284
102329699072
11a96066438
12550265594
132b187317c
1418159d9a8
15d97db317
hex8adc6300

2329699072 has 54 divisors (see below), whose sum is σ = 4861557932. Its totient is φ = 1114139136.

The previous prime is 2329699069. The next prime is 2329699081. The reversal of 2329699072 is 2709969232.

It is a super-3 number, since 3×23296990723 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126823 + ... + 144025.

Almost surely, 22329699072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2329699072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430778966).

2329699072 is an abundant number, since it is smaller than the sum of its proper divisors (2531858860).

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

2329699072 is an equidigital number, since it uses as much as digits as its factorization.

2329699072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17265 (or 17228 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 49.

The square root of 2329699072 is about 48266.9563158897. The cubic root of 2329699072 is about 1325.6634289137.

The spelling of 2329699072 in words is "two billion, three hundred twenty-nine million, six hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 529 736 1058 1472 2116 2944 4232 5888 8464 16928 17203 33856 34406 67712 68812 135424 137624 275248 395669 550496 791338 1100992 1582676 2201984 3165352 4403968 6330704 9100387 12661408 18200774 25322816 36401548 50645632 72803096 101291264 145606192 291212384 582424768 1164849536 2329699072