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199245240 = 233254113499
BaseRepresentation
bin10111110000000…
…11110110111000
3111212220201002100
423320003312320
5402001321430
631434303400
74636361625
oct1370036670
9455821070
10199245240
11a2517997
1256887b60
13323818bc
141c66734c
151275a960
hexbe03db8

199245240 has 96 divisors (see below), whose sum is σ = 663390000. Its totient is φ = 51832320.

The previous prime is 199245239. The next prime is 199245257. The reversal of 199245240 is 42542991.

199245240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 199245195 and 199245204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8011 + ... + 21509.

Almost surely, 2199245240 is an apocalyptic number.

199245240 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 199245240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331695000).

199245240 is an abundant number, since it is smaller than the sum of its proper divisors (464144760).

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

199245240 is a wasteful number, since it uses less digits than its factorization.

199245240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13557 (or 13550 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 199245240 is about 14115.4256046355. The cubic root of 199245240 is about 584.0669764306.

The spelling of 199245240 in words is "one hundred ninety-nine million, two hundred forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 13499 14760 26998 40497 53996 67495 80994 107992 121491 134990 161988 202485 242982 269980 323976 404970 485964 539960 553459 607455 809940 971928 1106918 1214910 1619880 1660377 2213836 2429820 2767295 3320754 4427672 4859640 4981131 5534590 6641508 8301885 9962262 11069180 13283016 16603770 19924524 22138360 24905655 33207540 39849048 49811310 66415080 99622620 199245240