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2223145134 = 232759973083
BaseRepresentation
bin1000010010000010…
…1000000010101110
312201221020110210200
42010200220002232
514023111121014
61004333414330
7106043264460
oct20440500256
95657213720
102223145134
11a409a8931
1252063a3a6
132957764c2
14171384130
15d028ea09
hex848280ae

2223145134 has 96 divisors (see below), whose sum is σ = 5657783040. Its totient is φ = 617780736.

The previous prime is 2223145117. The next prime is 2223145153. The reversal of 2223145134 is 4315413222.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2223145098 and 2223145107.

It is a congruent 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, 719557 + ... + 722639.

It is an arithmetic number, because the mean of its divisors is an integer number (58935240).

Almost surely, 22223145134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2223145134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828891520).

2223145134 is an abundant number, since it is smaller than the sum of its proper divisors (3434637906).

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

2223145134 is a wasteful number, since it uses less digits than its factorization.

2223145134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3251 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2223145134 is about 47150.2400205980. The cubic root of 2223145134 is about 1305.1365092590.

Adding to 2223145134 its reverse (4315413222), we get a palindrome (6538558356).

The spelling of 2223145134 in words is "two billion, two hundred twenty-three million, one hundred forty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 97 118 126 177 194 291 354 413 531 582 679 826 873 1062 1239 1358 1746 2037 2478 3083 3717 4074 5723 6111 6166 7434 9249 11446 12222 17169 18498 21581 27747 34338 40061 43162 51507 55494 64743 80122 103014 120183 129486 181897 194229 240366 299051 360549 363794 388458 545691 598102 721098 897153 1091382 1273279 1637073 1794306 2093357 2546558 2691459 3274146 3819837 4186714 5382918 6280071 7639674 11459511 12560142 17644009 18840213 22919022 35288018 37680426 52932027 105864054 123508063 158796081 247016126 317592162 370524189 741048378 1111572567 2223145134