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2114906800 = 245231170557
BaseRepresentation
bin111111000001110…
…1110101010110000
312110101120101201111
41332003232222300
513312404004200
6545505443104
7103260261016
oct17603565260
95411511644
102114906800
1199589a866
124b0340494
13279209c56
14160c4a8b6
15c5a0e0ba
hex7e0eeab0

2114906800 has 60 divisors (see below), whose sum is σ = 5244999616. Its totient is φ = 818668800.

The previous prime is 2114906767. The next prime is 2114906803. The reversal of 2114906800 is 86094112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (2114906803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72879 + ... + 97678.

Almost surely, 22114906800 is an apocalyptic number.

2114906800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114906800 is an abundant number, since it is smaller than the sum of its proper divisors (3130092816).

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

2114906800 is a wasteful number, since it uses less digits than its factorization.

2114906800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170606 (or 170595 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 2114906800 is about 45988.1158561644. The cubic root of 2114906800 is about 1283.6020771115.

The spelling of 2114906800 in words is "two billion, one hundred fourteen million, nine hundred six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 12400 170557 341114 682228 852785 1364456 1705570 2728912 3411140 4263925 5287267 6822280 8527850 10574534 13644560 17055700 21149068 26436335 34111400 42298136 52872670 68222800 84596272 105745340 132181675 211490680 264363350 422981360 528726700 1057453400 2114906800