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199452240 = 24335137103
BaseRepresentation
bin10111110001101…
…10011001010000
3111220022020001000
423320312121100
5402024432430
631442542000
74641213261
oct1370663120
9456266030
10199452240
11a2649469
1256967900
1332424ba0
141c6bc968
151279be60
hexbe36650

199452240 has 160 divisors (see below), whose sum is σ = 739952640. Its totient is φ = 49089024.

The previous prime is 199452223. The next prime is 199452259. The reversal of 199452240 is 42254991.

199452240 is a `hidden beast` number, since 1 + 9 + 94 + 522 + 40 = 666.

199452240 is digitally balanced in base 2, 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 = 199452195 and 199452204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24529 + ... + 31631.

It is an arithmetic number, because the mean of its divisors is an integer number (4624704).

Almost surely, 2199452240 is an apocalyptic number.

199452240 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 199452240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369976320).

199452240 is an abundant number, since it is smaller than the sum of its proper divisors (540500400).

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

199452240 is a wasteful number, since it uses less digits than its factorization.

199452240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7138 (or 7126 counting only the distinct ones).

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

The square root of 199452240 is about 14122.7561049535. The cubic root of 199452240 is about 584.2691728446.

The spelling of 199452240 in words is "one hundred ninety-nine million, four hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 7103 9360 14040 14206 21309 28080 28412 35515 42618 56824 63927 71030 85236 92339 106545 113648 127854 142060 170472 184678 191781 213090 255708 277017 284120 319635 340944 369356 383562 426180 461695 511416 554034 568240 639270 738712 767124 831051 852360 923390 958905 1022832 1108068 1278540 1385085 1477424 1534248 1662102 1704720 1846780 1917810 2216136 2493153 2557080 2770170 3068496 3324204 3693560 3835620 4155255 4432272 4986306 5114160 5540340 6648408 7387120 7671240 8310510 9972612 11080680 12465765 13296816 15342480 16621020 19945224 22161360 24931530 33242040 39890448 49863060 66484080 99726120 199452240