Search a number
-
+
1234224000200 = 235214281432121
BaseRepresentation
bin10001111101011101011…
…110111010110011001000
311100222202012012110022102
4101331131132322303020
5130210142321001300
62342554503412532
7155112135622202
oct21753536726310
94328665173272
101234224000200
114364822a9a84
1217b24b154148
138c504b0c8b9
1443a45955772
15221895850d5
hex11f5d7bacc8

1234224000200 has 48 divisors (see below), whose sum is σ = 2869778377860. Its totient is φ = 493653888000.

The previous prime is 1234224000193. The next prime is 1234224000239. The reversal of 1234224000200 is 20004224321.

It can be written as a sum of positive squares in 6 ways, for example, as 15668530276 + 1218555469924 = 125174^2 + 1103882^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2640140 + ... + 3072260.

Almost surely, 21234224000200 is an apocalyptic number.

1234224000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1234224000200 is an abundant number, since it is smaller than the sum of its proper divisors (1635554377660).

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

1234224000200 is a wasteful number, since it uses less digits than its factorization.

1234224000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446418 (or 446409 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 1234224000200 its reverse (20004224321), we get a palindrome (1254228224521).

The spelling of 1234224000200 in words is "one trillion, two hundred thirty-four billion, two hundred twenty-four million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 14281 28562 57124 71405 114248 142810 285620 357025 432121 571240 714050 864242 1428100 1728484 2160605 2856200 3456968 4321210 8642420 10803025 17284840 21606050 43212100 86424200 6171120001 12342240002 24684480004 30855600005 49368960008 61711200010 123422400020 154278000025 246844800040 308556000050 617112000100 1234224000200