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2312200032 = 2531031971187
BaseRepresentation
bin1000100111010001…
…0101111101100000
312222010210221011020
42021310111331200
514213410400112
61021234245440
7111204242652
oct21164257540
95863727136
102312200032
11a871a411a
12546426880
132ab0571cc
1417d1266d2
15d7ed148c
hex89d15f60

2312200032 has 96 divisors (see below), whose sum is σ = 6164750592. Its totient is φ = 758736384.

The previous prime is 2312200027. The next prime is 2312200057. The reversal of 2312200032 is 2300022132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2312199984 and 2312200020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1947343 + ... + 1948529.

It is an arithmetic number, because the mean of its divisors is an integer number (64216152).

Almost surely, 22312200032 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 2312200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082375296).

2312200032 is an abundant number, since it is smaller than the sum of its proper divisors (3852550560).

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

2312200032 is a wasteful number, since it uses less digits than its factorization.

2312200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2312200032 is about 48085.3411342792. The cubic root of 2312200032 is about 1322.3359372335.

Adding to 2312200032 its reverse (2300022132), we get a palindrome (4612222164).

The spelling of 2312200032 in words is "two billion, three hundred twelve million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 197 206 309 394 412 591 618 788 824 1182 1187 1236 1576 1648 2364 2374 2472 3152 3296 3561 4728 4748 4944 6304 7122 9456 9496 9888 14244 18912 18992 20291 28488 37984 40582 56976 60873 81164 113952 121746 122261 162328 233839 243492 244522 324656 366783 467678 486984 489044 649312 701517 733566 935356 973968 978088 1403034 1467132 1870712 1947936 1956176 2806068 2934264 3741424 3912352 5612136 5868528 7482848 11224272 11737056 22448544 24085417 48170834 72256251 96341668 144512502 192683336 289025004 385366672 578050008 770733344 1156100016 2312200032