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2232130404 = 2237235321799
BaseRepresentation
bin1000010100001011…
…1001101101100100
312202120010222021110
42011002321231210
514032411133104
61005254145020
7106212536550
oct20502715544
95676128243
102232130404
11a45a85679
12523652170
132975a122a
14172642860
15d0e66e89
hex850b9b64

2232130404 has 96 divisors (see below), whose sum is σ = 6328627200. Its totient is φ = 598485888.

The previous prime is 2232130403. The next prime is 2232130429. The reversal of 2232130404 is 4040312322.

It is a super-3 number, since 3×22321304043 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2232130403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91497 + ... + 113295.

It is an arithmetic number, because the mean of its divisors is an integer number (65923200).

Almost surely, 22232130404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232130404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164313600).

2232130404 is an abundant number, since it is smaller than the sum of its proper divisors (4096496796).

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

2232130404 is a wasteful number, since it uses less digits than its factorization.

2232130404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21889 (or 21887 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2232130404 is about 47245.4273342934. The cubic root of 2232130404 is about 1306.8924660399.

Adding to 2232130404 its reverse (4040312322), we get a palindrome (6272442726).

It can be divided in two parts, 22321 and 30404, that added together give a palindrome (52725).

The spelling of 2232130404 in words is "two billion, two hundred thirty-two million, one hundred thirty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 53 69 84 92 106 138 159 161 212 276 318 322 371 483 636 644 742 966 1113 1219 1484 1932 2226 2438 3657 4452 4876 7314 8533 14628 17066 21799 25599 34132 43598 51198 65397 87196 102396 130794 152593 261588 305186 457779 501377 610372 915558 1002754 1155347 1504131 1831116 2005508 2310694 3008262 3466041 3509639 4621388 6016524 6932082 7019278 8087429 10528917 13864164 14038556 16174858 21057834 24262287 26572981 32349716 42115668 48524574 53145962 79718943 97049148 106291924 159437886 186010867 318875772 372021734 558032601 744043468 1116065202 2232130404