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2231430032 = 241325971197
BaseRepresentation
bin1000010100000000…
…1110101110010000
312202111211101112202
42011000032232100
514032221230112
61005231142332
7106203561626
oct20500165620
95674741482
102231430032
11a45647457
125233749a8
132973b7500
141724dd516
15d0d796c2
hex8500eb90

2231430032 has 120 divisors (see below), whose sum is σ = 4852457280. Its totient is φ = 993108480.

The previous prime is 2231430029. The next prime is 2231430073. The reversal of 2231430032 is 2300341322.

It is a super-3 number, since 3×22314300323 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2231429986 and 2231430013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11326958 + ... + 11327154.

It is an arithmetic number, because the mean of its divisors is an integer number (40437144).

Almost surely, 22231430032 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 2231430032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426228640).

2231430032 is an abundant number, since it is smaller than the sum of its proper divisors (2621027248).

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

2231430032 is a wasteful number, since it uses less digits than its factorization.

2231430032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2231430032 is about 47238.0146915596. The cubic root of 2231430032 is about 1306.7557645525.

Adding to 2231430032 its reverse (2300341322), we get a palindrome (4531771354).

The spelling of 2231430032 in words is "two billion, two hundred thirty-one million, four hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 59 71 104 118 142 169 197 208 236 284 338 394 472 568 676 767 788 923 944 1136 1352 1534 1576 1846 2561 2704 3068 3152 3692 4189 5122 6136 7384 8378 9971 10244 11623 11999 12272 13987 14768 16756 19942 20488 23246 23998 27974 33293 33512 39884 40976 46492 47996 54457 55948 66586 67024 79768 92984 95992 108914 111896 133172 151099 159536 181831 185968 191984 217828 223792 266344 302198 363662 435656 532688 604396 707941 727324 825233 871312 1208792 1415882 1454648 1650466 1964287 2363803 2417584 2831764 2909296 3300932 3928574 4727606 5663528 6601864 7857148 9455212 10728029 11327056 13203728 15714296 18910424 21456058 31428592 37820848 42912116 85824232 139464377 171648464 278928754 557857508 1115715016 2231430032