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2114303320 = 235711315683
BaseRepresentation
bin111111000000101…
…1011010101011000
312110100102201220101
41332001123111120
513312230201240
6545444505144
7103252165423
oct17601332530
95410381811
102114303320
11995518418
124b00ab1b4
1327905836c
14160b309ba
15c594039a
hex7e05b558

2114303320 has 64 divisors (see below), whose sum is σ = 4861866240. Its totient is φ = 827299200.

The previous prime is 2114303281. The next prime is 2114303329. The reversal of 2114303320 is 233034112.

It is a super-3 number, since 3×21143033203 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114303329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369199 + ... + 374881.

It is an arithmetic number, because the mean of its divisors is an integer number (75966660).

Almost surely, 22114303320 is an apocalyptic number.

2114303320 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 2114303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430933120).

2114303320 is an abundant number, since it is smaller than the sum of its proper divisors (2747562920).

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

2114303320 is a wasteful number, since it uses less digits than its factorization.

2114303320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896 (or 5892 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2114303320 is about 45981.5541277152. The cubic root of 2114303320 is about 1283.4799752972.

Adding to 2114303320 its reverse (233034112), we get a palindrome (2347337432).

The spelling of 2114303320 in words is "two billion, one hundred fourteen million, three hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 131 142 262 284 355 524 568 655 710 1048 1310 1420 2620 2840 5240 5683 9301 11366 18602 22732 28415 37204 45464 46505 56830 74408 93010 113660 186020 227320 372040 403493 744473 806986 1488946 1613972 2017465 2977892 3227944 3722365 4034930 5955784 7444730 8069860 14889460 16139720 29778920 52857583 105715166 211430332 264287915 422860664 528575830 1057151660 2114303320