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199225572 = 223721367389
BaseRepresentation
bin10111101111111…
…11000011100100
3111212212201002220
423313333003210
5402000204242
631434032340
74636250400
oct1367770344
9455781086
10199225572
11a2504137
12568786b0
1332375970
141c660100
1512754bec
hexbdff0e4

199225572 has 144 divisors (see below), whose sum is σ = 592562880. Its totient is φ = 51625728.

The previous prime is 199225531. The next prime is 199225577. The reversal of 199225572 is 275522991.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199225577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511954 + ... + 512342.

It is an arithmetic number, because the mean of its divisors is an integer number (4115020).

Almost surely, 2199225572 is an apocalyptic number.

199225572 is a gapful number since it is divisible by the number (12) 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 199225572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296281440).

199225572 is an abundant number, since it is smaller than the sum of its proper divisors (393337308).

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

199225572 is a wasteful number, since it uses less digits than its factorization.

199225572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 481 counting only the distinct ones).

The product of its digits is 113400, while the sum is 42.

The square root of 199225572 is about 14114.7289028164. The cubic root of 199225572 is about 584.0477575569.

The spelling of 199225572 in words is "one hundred ninety-nine million, two hundred twenty-five thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 67 78 84 91 98 134 147 156 182 196 201 268 273 294 364 389 402 469 546 588 637 778 804 871 938 1092 1167 1274 1407 1556 1742 1876 1911 2334 2548 2613 2723 2814 3283 3484 3822 4668 5057 5226 5446 5628 6097 6566 7644 8169 9849 10114 10452 10892 12194 13132 15171 16338 18291 19061 19698 20228 24388 26063 30342 32676 35399 36582 38122 39396 42679 52126 57183 60684 70798 73164 76244 78189 85358 104252 106197 114366 128037 141596 156378 170716 182441 212394 228732 247793 256074 312756 338819 364882 424788 495586 512148 547323 677638 729764 743379 991172 1016457 1094646 1277087 1355276 1486758 2032914 2189292 2371733 2554174 2973516 3831261 4065828 4743466 5108348 7115199 7662522 9486932 14230398 15325044 16602131 28460796 33204262 49806393 66408524 99612786 199225572