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2331020320 = 25519240357
BaseRepresentation
bin1000101011110000…
…1000110000100000
320000110020002201221
42022330020300200
514233220122240
61023145504424
7111523226416
oct21274106040
96013202657
102331020320
11a96889082
125507a2114
132b1c16685
141818252b6
15d999ca4a
hex8af08c20

2331020320 has 72 divisors (see below), whose sum is σ = 5812278444. Its totient is φ = 883312128.

The previous prime is 2331020311. The next prime is 2331020323. The reversal of 2331020320 is 230201332.

It can be written as a sum of positive squares in 2 ways, for example, as 2017447056 + 313573264 = 44916^2 + 17708^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2331020294 and 2331020303.

It is not an unprimeable number, because it can be changed into a prime (2331020323) 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 11 ways as a sum of consecutive naturals, for example, 37582 + ... + 77938.

Almost surely, 22331020320 is an apocalyptic number.

2331020320 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 2331020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906139222).

2331020320 is an abundant number, since it is smaller than the sum of its proper divisors (3481258124).

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

2331020320 is a wasteful number, since it uses less digits than its factorization.

2331020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40410 (or 40383 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2331020320 is about 48280.6412550621. The cubic root of 2331020320 is about 1325.9139904795.

Adding to 2331020320 its reverse (230201332), we get a palindrome (2561221652).

The spelling of 2331020320 in words is "two billion, three hundred thirty-one million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 361 380 608 722 760 1444 1520 1805 2888 3040 3610 5776 7220 11552 14440 28880 40357 57760 80714 161428 201785 322856 403570 645712 766783 807140 1291424 1533566 1614280 3067132 3228560 3833915 6134264 6457120 7667830 12268528 14568877 15335660 24537056 29137754 30671320 58275508 61342640 72844385 116551016 122685280 145688770 233102032 291377540 466204064 582755080 1165510160 2331020320