Search a number
-
+
12236597000 = 235344927253
BaseRepresentation
bin10110110010101101…
…11010011100001000
31011120210022112102022
423121112322130020
5200030032101000
65342120424012
7612143233625
oct133126723410
934523275368
1012236597000
11520a270491
122456018008
131200193754
1484120934c
154b9408585
hex2d95ba708

12236597000 has 64 divisors (see below), whose sum is σ = 28698462000. Its totient is φ = 4883558400.

The previous prime is 12236596993. The next prime is 12236597003. The reversal of 12236597000 is 79563221.

12236597000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 711715684 + 11524881316 = 26678^2 + 107354^2 .

It is a super-2 number, since 2×122365970002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12236597003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435374 + ... + 462626.

Almost surely, 212236597000 is an apocalyptic number.

12236597000 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 12236597000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14349231000).

12236597000 is an abundant number, since it is smaller than the sum of its proper divisors (16461865000).

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

12236597000 is a wasteful number, since it uses less digits than its factorization.

12236597000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27723 (or 27709 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The spelling of 12236597000 in words is "twelve billion, two hundred thirty-six million, five hundred ninety-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 449 500 898 1000 1796 2245 3592 4490 8980 11225 17960 22450 27253 44900 54506 56125 89800 109012 112250 136265 218024 224500 272530 449000 545060 681325 1090120 1362650 2725300 3406625 5450600 6813250 12236597 13626500 24473194 27253000 48946388 61182985 97892776 122365970 244731940 305914925 489463880 611829850 1223659700 1529574625 2447319400 3059149250 6118298500 12236597000