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2314021200 = 243521928351
BaseRepresentation
bin1000100111101101…
…0010100101010000
312222021020110022220
42021323102211100
514214342134300
61021341301040
7111225566331
oct21173224520
95867213286
102314021200
11a88228417
12546b64780
132ab54411a
1417d47c288
15d8240da0
hex89ed2950

2314021200 has 60 divisors (see below), whose sum is σ = 7412585088. Its totient is φ = 617072000.

The previous prime is 2314021189. The next prime is 2314021211. The reversal of 2314021200 is 21204132.

It is an interprime number because it is at equal distance from previous prime (2314021189) and next prime (2314021211).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×23140212002 = 10709388228098880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2314021200.

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, 962976 + ... + 965375.

Almost surely, 22314021200 is an apocalyptic number.

2314021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314021200 is an abundant number, since it is smaller than the sum of its proper divisors (5098563888).

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

2314021200 is a wasteful number, since it uses less digits than its factorization.

2314021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928372 (or 1928361 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2314021200 is about 48104.2742383668. The cubic root of 2314021200 is about 1322.6830184949.

Adding to 2314021200 its reverse (21204132), we get a palindrome (2335225332).

The spelling of 2314021200 in words is "two billion, three hundred fourteen million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1928351 3856702 5785053 7713404 9641755 11570106 15426808 19283510 23140212 28925265 30853616 38567020 46280424 48208775 57850530 77134040 92560848 96417550 115701060 144626325 154268080 192835100 231402120 289252650 385670200 462804240 578505300 771340400 1157010600 2314021200