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196226784 = 253213173083
BaseRepresentation
bin10111011001000…
…10111011100000
3111200020100112200
423230202323200
5400213224114
631245453200
74601620515
oct1354427340
9450210480
10196226784
11a08460a6
1255871200
1331865a30
141c0bd30c
1512361409
hexbb22ee0

196226784 has 144 divisors (see below), whose sum is σ = 636500592. Its totient is φ = 56807424.

The previous prime is 196226773. The next prime is 196226791. The reversal of 196226784 is 487622691.

It is a happy number.

196226784 is a `hidden beast` number, since 19 + 622 + 6 + 7 + 8 + 4 = 666.

196226784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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, 62107 + ... + 65189.

It is an arithmetic number, because the mean of its divisors is an integer number (4420143).

Almost surely, 2196226784 is an apocalyptic number.

196226784 is the 7488-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196226784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318250296).

196226784 is an abundant number, since it is smaller than the sum of its proper divisors (440273808).

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

196226784 is a wasteful number, since it uses less digits than its factorization.

196226784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3118 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 196226784 is about 14008.0970870422. The cubic root of 196226784 is about 581.1025243613.

The spelling of 196226784 in words is "one hundred ninety-six million, two hundred twenty-six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 68 72 78 96 102 104 117 136 144 153 156 204 208 221 234 272 288 306 312 408 416 442 468 544 612 624 663 816 884 936 1224 1248 1326 1632 1768 1872 1989 2448 2652 3083 3536 3744 3978 4896 5304 6166 7072 7956 9249 10608 12332 15912 18498 21216 24664 27747 31824 36996 40079 49328 52411 55494 63648 73992 80158 98656 104822 110988 120237 147984 157233 160316 209644 221976 240474 295968 314466 320632 360711 419288 443952 471699 480948 628932 641264 681343 721422 838576 887904 943398 961896 1257864 1282528 1362686 1442844 1677152 1886796 1923792 2044029 2515728 2725372 2885688 3773592 3847584 4088058 5031456 5450744 5771376 6132087 7547184 8176116 10901488 11542752 12264174 15094368 16352232 21802976 24528348 32704464 49056696 65408928 98113392 196226784