Search a number
-
+
2234200023 = 331125967173
BaseRepresentation
bin1000010100101011…
…0010111111010111
312202201001010021000
42011022302333113
514033423400043
61005410354343
7106236246456
oct20512627727
95681033230
102234200023
11a47169600
1252428b9b3
13297b47263
14172a20b9d
15d12252d3
hex852b2fd7

2234200023 has 96 divisors (see below), whose sum is σ = 3776774400. Its totient is φ = 1303663680.

The previous prime is 2234199983. The next prime is 2234200043. The reversal of 2234200023 is 3200024322.

2234200023 is a `hidden beast` number, since 223 + 420 + 0 + 0 + 23 = 666.

It is not a de Polignac number, because 2234200023 - 226 = 2167091159 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2234199969 and 2234200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234200043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12914365 + ... + 12914537.

It is an arithmetic number, because the mean of its divisors is an integer number (39341400).

Almost surely, 22234200023 is an apocalyptic number.

2234200023 is a deficient number, since it is larger than the sum of its proper divisors (1542574377).

2234200023 is a wasteful number, since it uses less digits than its factorization.

2234200023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2234200023 is about 47267.3251094242. The cubic root of 2234200023 is about 1307.2962557640.

Adding to 2234200023 its reverse (3200024322), we get a palindrome (5434224345).

The spelling of 2234200023 in words is "two billion, two hundred thirty-four million, two hundred thousand, twenty-three".

Divisors: 1 3 9 11 27 33 59 67 99 121 173 177 201 297 363 519 531 603 649 737 1089 1557 1593 1809 1903 1947 2211 3267 3953 4671 5709 5841 6633 7139 8107 10207 11591 11859 17127 17523 19899 20933 21417 24321 30621 34773 35577 43483 51381 62799 64251 72963 91863 104319 106731 112277 127501 130449 188397 192753 218889 275589 312957 336831 382503 391347 478313 565191 683869 1010493 1147509 1174041 1235047 1402511 1434939 2051607 3031479 3442527 3705141 4207533 4304817 6154821 7522559 11115423 12622599 12914451 18464463 22567677 33346269 37867797 67703031 82748149 203109093 248244447 744733341 2234200023