Search a number
-
+
2220132312 = 2332374319381
BaseRepresentation
bin1000010001010100…
…1000011111011000
312201201120101222200
42010111020133120
514021323213222
61004145050200
7106005545646
oct20425103730
95651511880
102220132312
11a3a2302a2
1251b626960
13294c60078
14170bdc196
15ced96eac
hex845487d8

2220132312 has 96 divisors (see below), whose sum is σ = 6319307280. Its totient is φ = 703261440.

The previous prime is 2220132307. The next prime is 2220132331. The reversal of 2220132312 is 2132310222.

2220132312 is a `hidden beast` number, since 2 + 220 + 132 + 312 = 666.

It is a super-3 number, since 3×22201323123 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104862 + ... + 124242.

Almost surely, 22220132312 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 2220132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159653640).

2220132312 is an abundant number, since it is smaller than the sum of its proper divisors (4099174968).

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

2220132312 is a wasteful number, since it uses less digits than its factorization.

2220132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19473 (or 19466 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2220132312 is about 47118.2800195423. The cubic root of 2220132312 is about 1304.5466659845.

Adding to 2220132312 its reverse (2132310222), we get a palindrome (4352442534).

The spelling of 2220132312 in words is "two billion, two hundred twenty million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 43 72 74 86 111 129 148 172 222 258 296 333 344 387 444 516 666 774 888 1032 1332 1548 1591 2664 3096 3182 4773 6364 9546 12728 14319 19092 19381 28638 38184 38762 57276 58143 77524 114552 116286 155048 174429 232572 348858 465144 697716 717097 833383 1395432 1434194 1666766 2151291 2500149 2868388 3333532 4302582 5000298 5736776 6453873 6667064 7500447 8605164 10000596 12907746 15000894 17210328 20001192 25815492 30001788 30835171 51630984 60003576 61670342 92505513 123340684 185011026 246681368 277516539 370022052 555033078 740044104 1110066156 2220132312