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201937424 = 241321723191
BaseRepresentation
bin11000000100101…
…01001000010000
3112001222111001212
430002111020100
5403143444144
632012115252
75001303563
oct1402251020
9461874055
10201937424
11a3a96637
1257765b28
1332ab5100
141cb684da
1512add49e
hexc095210

201937424 has 120 divisors (see below), whose sum is σ = 470541312. Its totient is φ = 83466240.

The previous prime is 201937399. The next prime is 201937429. The reversal of 201937424 is 424739102.

It is not an unprimeable number, because it can be changed into a prime (201937429) 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, 1057169 + ... + 1057359.

Almost surely, 2201937424 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 201937424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235270656).

201937424 is an abundant number, since it is smaller than the sum of its proper divisors (268603888).

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

201937424 is a wasteful number, since it uses less digits than its factorization.

201937424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 201937424 is about 14210.4688170377. The cubic root of 201937424 is about 586.6858367244.

The spelling of 201937424 in words is "two hundred one million, nine hundred thirty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 23 26 34 46 52 68 92 104 136 169 184 191 208 221 272 299 338 368 382 391 442 598 676 764 782 884 1196 1352 1528 1564 1768 2392 2483 2704 2873 3056 3128 3247 3536 3887 4393 4784 4966 5083 5746 6256 6494 7774 8786 9932 10166 11492 12988 15548 17572 19864 20332 22984 25976 31096 32279 35144 39728 40664 42211 45968 51952 57109 62192 64558 66079 70288 74681 81328 84422 114218 129116 132158 149362 168844 228436 258232 264316 298724 337688 456872 516464 528632 548743 597448 675376 742417 913744 970853 1057264 1097486 1194896 1484834 1941706 2194972 2969668 3883412 4389944 5939336 7766824 8779888 11878672 12621089 15533648 25242178 50484356 100968712 201937424