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189226224 = 243211671783
BaseRepresentation
bin10110100011101…
…01110011110000
3111012001200120200
423101311303300
5341420214344
630435435200
74455252645
oct1321656360
9435050520
10189226224
11978a4510
1253455b00
13302844a5
141b1b9dcc
151192c069
hexb475cf0

189226224 has 120 divisors (see below), whose sum is σ = 586664832. Its totient is φ = 56453760.

The previous prime is 189226223. The next prime is 189226231. The reversal of 189226224 is 422622981.

189226224 is a `hidden beast` number, since 1 + 8 + 9 + 22 + 622 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189226223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105237 + ... + 107019.

Almost surely, 2189226224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189226224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293332416).

189226224 is an abundant number, since it is smaller than the sum of its proper divisors (397438608).

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

189226224 is a wasteful number, since it uses less digits than its factorization.

189226224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1866 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 189226224 is about 13755.9523116359. The cubic root of 189226224 is about 574.1082322909.

The spelling of 189226224 in words is "one hundred eighty-nine million, two hundred twenty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 67 72 88 99 132 134 144 176 198 201 264 268 396 402 528 536 603 737 792 804 1072 1206 1474 1584 1608 1783 2211 2412 2948 3216 3566 4422 4824 5349 5896 6633 7132 8844 9648 10698 11792 13266 14264 16047 17688 19613 21396 26532 28528 32094 35376 39226 42792 53064 58839 64188 78452 85584 106128 117678 119461 128376 156904 176517 235356 238922 256752 313808 353034 358383 470712 477844 706068 716766 941424 955688 1075149 1314071 1412136 1433532 1911376 2150298 2628142 2824272 2867064 3942213 4300596 5256284 5734128 7884426 8601192 10512568 11826639 15768852 17202384 21025136 23653278 31537704 47306556 63075408 94613112 189226224