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2114366320 = 2451110123789
BaseRepresentation
bin111111000000110…
…1010101101110000
312110100112221022201
41332001222231300
513312234210240
6545450112544
7103252550203
oct17601525560
95410487281
102114366320
11995560790
124b011b754
1327907ac41
14160b4993a
15c5953d9a
hex7e06ab70

2114366320 has 80 divisors (see below), whose sum is σ = 5416126560. Its totient is φ = 761216000.

The previous prime is 2114366311. The next prime is 2114366357. The reversal of 2114366320 is 236634112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76986 + ... + 100774.

It is an arithmetic number, because the mean of its divisors is an integer number (67701582).

Almost surely, 22114366320 is an apocalyptic number.

2114366320 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 2114366320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708063280).

2114366320 is an abundant number, since it is smaller than the sum of its proper divisors (3301760240).

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

2114366320 is a wasteful number, since it uses less digits than its factorization.

2114366320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23914 (or 23908 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 2114366320 is about 45982.2391799269. The cubic root of 2114366320 is about 1283.4927231426.

It can be divided in two parts, 21 and 14366320, that added together give a palindrome (14366341).

The spelling of 2114366320 in words is "two billion, one hundred fourteen million, three hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 4040 4444 5555 8080 8888 11110 17776 22220 23789 44440 47578 88880 95156 118945 190312 237890 261679 380624 475780 523358 951560 1046716 1308395 1903120 2093432 2402689 2616790 4186864 4805378 5233580 9610756 10467160 12013445 19221512 20934320 24026890 26429579 38443024 48053780 52859158 96107560 105718316 132147895 192215120 211436632 264295790 422873264 528591580 1057183160 2114366320