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2314253400 = 2335210138189
BaseRepresentation
bin1000100111110000…
…1011010001011000
312222021200020211220
42021330023101120
514214422102100
61021350252040
7111230554314
oct21174132130
95867606756
102314253400
11a88376918
12547057020
132ab5c5a14
1417d4dcb44
15d8289aa0
hex89f0b458

2314253400 has 96 divisors (see below), whose sum is σ = 7245406800. Its totient is φ = 611008000.

The previous prime is 2314253341. The next prime is 2314253407. The reversal of 2314253400 is 43524132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314253407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41506 + ... + 79694.

Almost surely, 22314253400 is an apocalyptic number.

2314253400 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 2314253400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622703400).

2314253400 is an abundant number, since it is smaller than the sum of its proper divisors (4931153400).

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

2314253400 is a wasteful number, since it uses less digits than its factorization.

2314253400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38309 (or 38300 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2314253400 is about 48106.6876847700. The cubic root of 2314253400 is about 1322.7272584706.

Adding to 2314253400 its reverse (43524132), we get a palindrome (2357777532).

The spelling of 2314253400 in words is "two billion, three hundred fourteen million, two hundred fifty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 150 200 202 300 303 404 505 600 606 808 1010 1212 1515 2020 2424 2525 3030 4040 5050 6060 7575 10100 12120 15150 20200 30300 38189 60600 76378 114567 152756 190945 229134 305512 381890 458268 572835 763780 916536 954725 1145670 1527560 1909450 2291340 2864175 3818900 3857089 4582680 5728350 7637800 7714178 11456700 11571267 15428356 19285445 22913400 23142534 30856712 38570890 46285068 57856335 77141780 92570136 96427225 115712670 154283560 192854450 231425340 289281675 385708900 462850680 578563350 771417800 1157126700 2314253400