Search a number
-
+
2299224213 = 32112133312
BaseRepresentation
bin1000100100001011…
…0110000010010101
312221020101200200100
42021002312002111
514202100133323
61020052204313
7110656040406
oct21102660225
95836350610
102299224213
11a7a941200
12542009699
132a8463000
1417b5099ad
15d6cbb943
hex890b6095

2299224213 has 108 divisors (see below), whose sum is σ = 4086214860. Its totient is φ = 1244786400.

The previous prime is 2299224209. The next prime is 2299224227. The reversal of 2299224213 is 3124229922.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2299224213 is a `hidden beast` number, since 229 + 9 + 2 + 2 + 421 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84768849 + 2214455364 = 9207^2 + 47058^2 .

It is not a de Polignac number, because 2299224213 - 22 = 2299224209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2299224203) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 74168508 + ... + 74168538.

Almost surely, 22299224213 is an apocalyptic number.

It is an amenable number.

2299224213 is a deficient number, since it is larger than the sum of its proper divisors (1786990647).

2299224213 is a wasteful number, since it uses less digits than its factorization.

2299224213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 58 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2299224213 is about 47950.2264123956. The cubic root of 2299224213 is about 1319.8576929920.

The spelling of 2299224213 in words is "two billion, two hundred ninety-nine million, two hundred twenty-four thousand, two hundred thirteen".

Divisors: 1 3 9 11 13 31 33 39 93 99 117 121 143 169 279 341 363 403 429 507 961 1023 1089 1209 1287 1521 1573 1859 2197 2883 3069 3627 3751 4433 4719 5239 5577 6591 8649 10571 11253 12493 13299 14157 15717 16731 19773 20449 24167 31713 33759 37479 39897 47151 48763 57629 61347 68107 72501 95139 112437 116281 137423 146289 162409 172887 184041 204321 217503 265837 348843 412269 438867 487227 518661 612963 633919 749177 797511 1046529 1236807 1461681 1511653 1786499 1901757 2111317 2247531 2392533 4534959 5359497 5705271 6333951 6742593 8240947 13604877 16078491 19001853 19651489 23224487 24722841 58954467 69673461 74168523 176863401 209020383 255469357 766408071 2299224213