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2331400000 = 265511657
BaseRepresentation
bin1000101011110110…
…0101011101000000
320000110221101120011
42022331211131000
514233314300000
61023201554304
7111526400356
oct21275453500
96013841504
102331400000
11a97018366
12550945994
132b201a437
141818c37d6
15d9a252ba
hex8af65740

2331400000 has 84 divisors (see below), whose sum is σ = 5783090796. Its totient is φ = 932480000.

The previous prime is 2331399989. The next prime is 2331400033. The reversal of 2331400000 is 41332.

It can be written as a sum of positive squares in 6 ways, for example, as 1691512384 + 639887616 = 41128^2 + 25296^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194172 + ... + 205828.

It is an arithmetic number, because the mean of its divisors is an integer number (68846319).

Almost surely, 22331400000 is an apocalyptic number.

2331400000 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 2331400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891545398).

2331400000 is an abundant number, since it is smaller than the sum of its proper divisors (3451690796).

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

2331400000 is an frugal number, since it uses more digits than its factorization.

2331400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11694 (or 11664 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2331400000 is about 48284.5731057032. The cubic root of 2331400000 is about 1325.9859755081.

Adding to 2331400000 its reverse (41332), we get a palindrome (2331441332).

The spelling of 2331400000 in words is "two billion, three hundred thirty-one million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 11657 12500 20000 23314 25000 40000 46628 50000 58285 93256 100000 116570 186512 200000 233140 291425 373024 466280 582850 746048 932560 1165700 1457125 1865120 2331400 2914250 3730240 4662800 5828500 7285625 9325600 11657000 14571250 18651200 23314000 29142500 36428125 46628000 58285000 72856250 93256000 116570000 145712500 233140000 291425000 466280000 582850000 1165700000 2331400000