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199274240 = 2851114153
BaseRepresentation
bin10111110000010…
…10111100000000
3111212222011212102
423320022330000
5402003233430
631435045532
74636542314
oct1370127400
9455864772
10199274240
11a2537760
12568a08a8
1332391b69
141c673b44
1512764345
hexbe0af00

199274240 has 72 divisors (see below), whose sum is σ = 520753968. Its totient is φ = 72458240.

The previous prime is 199274233. The next prime is 199274269. The reversal of 199274240 is 42472991.

It is a junction number, because it is equal to n+sod(n) for n = 199274194 and 199274203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7004 + ... + 21156.

It is an arithmetic number, because the mean of its divisors is an integer number (7232694).

Almost surely, 2199274240 is an apocalyptic number.

199274240 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 199274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260376984).

199274240 is an abundant number, since it is smaller than the sum of its proper divisors (321479728).

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

199274240 is a wasteful number, since it uses less digits than its factorization.

199274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14185 (or 14171 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 199274240 is about 14116.4528122330. The cubic root of 199274240 is about 584.0953118973.

The spelling of 199274240 in words is "one hundred ninety-nine million, two hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 14080 14153 28306 56612 70765 113224 141530 155683 226448 283060 311366 452896 566120 622732 778415 905792 1132240 1245464 1556830 1811584 2264480 2490928 3113660 3623168 4528960 4981856 6227320 9057920 9963712 12454640 18115840 19927424 24909280 39854848 49818560 99637120 199274240