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2330115700 = 2252113757251
BaseRepresentation
bin1000101011100010…
…1011111001110100
320000101112010211111
42022320223321310
514233002200300
61023114244404
7111512441143
oct21270537164
96011463744
102330115700
11a96320460
12550426704
132b198a9b3
1418166b75a
15d986e9ba
hex8ae2be74

2330115700 has 72 divisors (see below), whose sum is σ = 5665199904. Its totient is φ = 824400000.

The previous prime is 2330115643. The next prime is 2330115773. The reversal of 2330115700 is 75110332.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12075 + ... + 69325.

It is an arithmetic number, because the mean of its divisors is an integer number (78683332).

Almost surely, 22330115700 is an apocalyptic number.

2330115700 is a gapful number since it is divisible by the number (20) 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 2330115700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832599952).

2330115700 is an abundant number, since it is smaller than the sum of its proper divisors (3335084204).

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

2330115700 is a wasteful number, since it uses less digits than its factorization.

2330115700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57313 (or 57306 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 2330115700 is about 48271.2719948418. The cubic root of 2330115700 is about 1325.7424485017.

The spelling of 2330115700 in words is "two billion, three hundred thirty million, one hundred fifteen thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 110 148 185 220 275 370 407 550 740 814 925 1100 1628 1850 2035 3700 4070 8140 10175 20350 40700 57251 114502 229004 286255 572510 629761 1145020 1259522 1431275 2118287 2519044 2862550 3148805 4236574 5725100 6297610 8473148 10591435 12595220 15744025 21182870 23301157 31488050 42365740 46602314 52957175 62976100 93204628 105914350 116505785 211828700 233011570 466023140 582528925 1165057850 2330115700