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2214001314 = 232759431691
BaseRepresentation
bin1000001111110110…
…1111101010100010
312201022000220211200
42003331233222202
514013241020224
61003405422030
7105602462220
oct20375575242
95638026750
102214001314
11a36822a58
1251956a916
132938c4565
14170083b10
15ce5855c9
hex83f6faa2

2214001314 has 96 divisors (see below), whose sum is σ = 5596231680. Its totient is φ = 619509600.

The previous prime is 2214001289. The next prime is 2214001333. The reversal of 2214001314 is 4131004122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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, 3203709 + ... + 3204399.

It is an arithmetic number, because the mean of its divisors is an integer number (58294080).

Almost surely, 22214001314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214001314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798115840).

2214001314 is an abundant number, since it is smaller than the sum of its proper divisors (3382230366).

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

2214001314 is a wasteful number, since it uses less digits than its factorization.

2214001314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2214001314 is about 47053.1753870023. The cubic root of 2214001314 is about 1303.3447035737.

Adding to 2214001314 its reverse (4131004122), we get a palindrome (6345005436).

The spelling of 2214001314 in words is "two billion, two hundred fourteen million, one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 177 354 413 431 531 691 826 862 1062 1239 1293 1382 2073 2478 2586 3017 3717 3879 4146 4837 6034 6219 7434 7758 9051 9674 12438 14511 18102 25429 27153 29022 40769 43533 50858 54306 76287 81538 87066 122307 152574 178003 228861 244614 285383 297821 356006 366921 457722 534009 570766 595642 733842 856149 893463 1068018 1602027 1712298 1786926 2084747 2568447 2680389 3204054 4169494 5136894 5360778 6254241 12508482 17571439 18762723 35142878 37525446 52714317 105428634 123000073 158142951 246000146 316285902 369000219 738000438 1107000657 2214001314