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2114044400 = 245213406547
BaseRepresentation
bin111111000000001…
…1100000111110000
312110022221120201202
41332000130013300
513312143410100
6545435150332
7103250036516
oct17600340760
95408846652
102114044400
11995360936
124abba53a8
13278c97560
14160aa44b6
15c58dd7d5
hex7e01c1f0

2114044400 has 60 divisors (see below), whose sum is σ = 5469696792. Its totient is φ = 780568320.

The previous prime is 2114044357. The next prime is 2114044403. The reversal of 2114044400 is 44404112.

It is a happy number.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114044403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198074 + ... + 208473.

Almost surely, 22114044400 is an apocalyptic number.

2114044400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114044400 is an abundant number, since it is smaller than the sum of its proper divisors (3355652392).

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

2114044400 is a wasteful number, since it uses less digits than its factorization.

2114044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406578 (or 406567 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2114044400 is about 45978.7385646888. The cubic root of 2114044400 is about 1283.4275810171.

Adding to 2114044400 its reverse (44404112), we get a palindrome (2158448512).

The spelling of 2114044400 in words is "two billion, one hundred fourteen million, forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 406547 813094 1626188 2032735 3252376 4065470 5285111 6504752 8130940 10163675 10570222 16261880 20327350 21140444 26425555 32523760 40654700 42280888 52851110 81309400 84561776 105702220 132127775 162618800 211404440 264255550 422808880 528511100 1057022200 2114044400