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2114342300 = 2252715111999
BaseRepresentation
bin111111000000110…
…0100110110011100
312110100111201101002
41332001210312130
513312232423200
6545445405432
7103252420160
oct17601446634
95410451332
102114342300
11995544734
124b0109878
13279070025
14160b40ca0
15c594bbd5
hex7e064d9c

2114342300 has 72 divisors (see below), whose sum is σ = 5249664000. Its totient is φ = 724075200.

The previous prime is 2114342273. The next prime is 2114342323. The reversal of 2114342300 is 32434112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1056701 + ... + 1058699.

It is an arithmetic number, because the mean of its divisors is an integer number (72912000).

Almost surely, 22114342300 is an apocalyptic number.

2114342300 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 2114342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624832000).

2114342300 is an abundant number, since it is smaller than the sum of its proper divisors (3135321700).

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

2114342300 is a wasteful number, since it uses less digits than its factorization.

2114342300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2114342300 is about 45981.9779913827. The cubic root of 2114342300 is about 1283.4878628035.

Adding to 2114342300 its reverse (32434112), we get a palindrome (2146776412).

The spelling of 2114342300 in words is "two billion, one hundred fourteen million, three hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1511 1999 3022 3998 6044 7555 7996 9995 10577 13993 15110 19990 21154 27986 30220 37775 39980 42308 49975 52885 55972 69965 75550 99950 105770 139930 151100 199900 211540 264425 279860 349825 528850 699650 1057700 1399300 3020489 6040978 12081956 15102445 21143423 30204890 42286846 60409780 75512225 84573692 105717115 151024450 211434230 302048900 422868460 528585575 1057171150 2114342300