Search a number
-
+
12233013200 = 2452196126387
BaseRepresentation
bin10110110010010010…
…01111011111010000
31011120112120110100222
423121021033133100
5200023122410300
65341511532212
7612100616342
oct133111173720
934515513328
1012233013200
115208242971
12245498a068
1311cc50a465
14840955292
154b8e4b785
hex2d924f7d0

12233013200 has 120 divisors (see below), whose sum is σ = 31444996320. Its totient is φ = 4559500800.

The previous prime is 12233013167. The next prime is 12233013203. The reversal of 12233013200 is 231033221.

It is a super-2 number, since 2×122330132002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233013203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450407 + ... + 476793.

It is an arithmetic number, because the mean of its divisors is an integer number (262041636).

Almost surely, 212233013200 is an apocalyptic number.

12233013200 is a gapful number since it is divisible by the number (10) 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 12233013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15722498160).

12233013200 is an abundant number, since it is smaller than the sum of its proper divisors (19211983120).

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

12233013200 is a wasteful number, since it uses less digits than its factorization.

12233013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26485 (or 26474 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12233013200 its reverse (231033221), we get a palindrome (12464046421).

The spelling of 12233013200 in words is "twelve billion, two hundred thirty-three million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 61 76 80 95 100 122 152 190 200 244 304 305 380 400 475 488 610 760 950 976 1159 1220 1520 1525 1900 2318 2440 3050 3800 4636 4880 5795 6100 7600 9272 11590 12200 18544 23180 24400 26387 28975 46360 52774 57950 92720 105548 115900 131935 211096 231800 263870 422192 463600 501353 527740 659675 1002706 1055480 1319350 1609607 2005412 2110960 2506765 2638700 3219214 4010824 5013530 5277400 6438428 8021648 8048035 10027060 10554800 12533825 12876856 16096070 20054120 25067650 25753712 30582533 32192140 40108240 40240175 50135300 61165066 64384280 80480350 100270600 122330132 128768560 152912665 160960700 200541200 244660264 305825330 321921400 489320528 611650660 643842800 764563325 1223301320 1529126650 2446602640 3058253300 6116506600 12233013200