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2314213888 = 2971036269
BaseRepresentation
bin1000100111110000…
…0001101000000000
312222021121020122111
42021330001220000
514214414321023
61021345345104
7111230331160
oct21174015000
95867536574
102314213888
11a8834a168
12547038194
132ab5b0a3c
1417d4cc5a0
15d827d00d
hex89f01a00

2314213888 has 80 divisors (see below), whose sum is σ = 5336622720. Its totient is φ = 982020096.

The previous prime is 2314213883. The next prime is 2314213901. The reversal of 2314213888 is 8883124132.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2314213888.

It is not an unprimeable number, because it can be changed into a prime (2314213883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 366018 + ... + 372286.

It is an arithmetic number, because the mean of its divisors is an integer number (66707784).

Almost surely, 22314213888 is an apocalyptic number.

2314213888 is a gapful number since it is divisible by the number (28) 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 2314213888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668311360).

2314213888 is an abundant number, since it is smaller than the sum of its proper divisors (3022408832).

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

2314213888 is an equidigital number, since it uses as much as digits as its factorization.

2314213888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6397 (or 6381 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 2314213888 is about 48106.2770124648. The cubic root of 2314213888 is about 1322.7197306437.

The spelling of 2314213888 in words is "two billion, three hundred fourteen million, two hundred thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 128 206 224 256 412 448 512 721 824 896 1442 1648 1792 2884 3296 3584 5768 6269 6592 11536 12538 13184 23072 25076 26368 43883 46144 50152 52736 87766 92288 100304 175532 184576 200608 351064 369152 401216 645707 702128 802432 1291414 1404256 1604864 2582828 2808512 3209728 4519949 5165656 5617024 9039898 10331312 11234048 18079796 20662624 22468096 36159592 41325248 72319184 82650496 144638368 165300992 289276736 330601984 578553472 1157106944 2314213888