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2031822012 = 22311293731423
BaseRepresentation
bin111100100011011…
…0010010010111100
312020121020020211010
41321012302102330
513130121301022
6533340555220
7101231126223
oct17106622274
95217206733
102031822012
11952a01a50
12488552b10
13264c3975c
14153bbdcba
15bd59b50c
hex791b24bc

2031822012 has 96 divisors (see below), whose sum is σ = 5368366080. Its totient is φ = 592462080.

The previous prime is 2031822011. The next prime is 2031822049. The reversal of 2031822012 is 2102281302.

It is a happy number.

2031822012 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2031822012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031822011) 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, 1427133 + ... + 1428555.

It is an arithmetic number, because the mean of its divisors is an integer number (55920480).

Almost surely, 22031822012 is an apocalyptic number.

2031822012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031822012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684183040).

2031822012 is an abundant number, since it is smaller than the sum of its proper divisors (3336544068).

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

2031822012 is a wasteful number, since it uses less digits than its factorization.

2031822012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2031822012 is about 45075.7363999747. The cubic root of 2031822012 is about 1266.5681234819.

The spelling of 2031822012 in words is "two billion, thirty-one million, eight hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 373 638 746 957 1119 1276 1423 1492 1914 2238 2846 3828 4103 4269 4476 5692 8206 8538 10817 12309 15653 16412 17076 21634 24618 31306 32451 41267 43268 46959 49236 62612 64902 82534 93918 118987 123801 129804 165068 187836 237974 247602 356961 453937 475948 495204 530779 713922 907874 1061558 1361811 1427844 1592337 1815748 2123116 2723622 3184674 5447244 5838569 6369348 11677138 15392591 17515707 23354276 30785182 35031414 46177773 61570364 70062828 92355546 169318501 184711092 338637002 507955503 677274004 1015911006 2031822012