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2114390322 = 23211231373389
BaseRepresentation
bin111111000000111…
…0000100100110010
312110100121011020200
41332001300210302
513312240442242
6545450420030
7103253010162
oct17601604462
95410534220
102114390322
11995577820
124b0131616
13279088b45
14160b545a2
15c595b04c
hex7e070932

2114390322 has 96 divisors (see below), whose sum is σ = 5254554240. Its totient is φ = 608213760.

The previous prime is 2114390293. The next prime is 2114390339. The reversal of 2114390322 is 2230934112.

It is a happy number.

2114390322 is a `hidden beast` number, since 211 + 43 + 90 + 322 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 622204 + ... + 625592.

It is an arithmetic number, because the mean of its divisors is an integer number (54734940).

Almost surely, 22114390322 is an apocalyptic number.

2114390322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114390322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627277120).

2114390322 is an abundant number, since it is smaller than the sum of its proper divisors (3140163918).

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

2114390322 is a wasteful number, since it uses less digits than its factorization.

2114390322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2114390322 is about 45982.5001712608. The cubic root of 2114390322 is about 1283.4975798027.

The spelling of 2114390322 in words is "two billion, one hundred fourteen million, three hundred ninety thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 137 138 198 207 253 274 411 414 506 759 822 1233 1507 1518 2277 2466 3014 3151 3389 4521 4554 6302 6778 9042 9453 10167 13563 18906 20334 27126 28359 30501 34661 37279 56718 61002 69322 74558 77947 103983 111837 155894 207966 223674 233841 311949 335511 464293 467682 623898 671022 701523 857417 928586 1392879 1403046 1714834 2572251 2785758 4178637 5107223 5144502 7716753 8357274 10214446 10678739 15321669 15433506 21357478 30643338 32036217 45965007 64072434 91930014 96108651 117466129 192217302 234932258 352398387 704796774 1057195161 2114390322