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202040424 = 233237149509
BaseRepresentation
bin11000000101011…
…10010001101000
3112002011201100200
430002232101220
5403210243144
632014232200
75002213065
oct1402562150
9462151320
10202040424
11a4056a63
12577b5660
1332b1cc61
141cb93c6c
1512b0dc69
hexc0ae468

202040424 has 96 divisors (see below), whose sum is σ = 566865000. Its totient is φ = 64958976.

The previous prime is 202040401. The next prime is 202040431. The reversal of 202040424 is 424040202.

202040424 is a `hidden beast` number, since 202 + 0 + 40 + 424 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 192932100 + 9108324 = 13890^2 + 3018^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202040397 and 202040406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396682 + ... + 397190.

Almost surely, 2202040424 is an apocalyptic number.

202040424 is a gapful number since it is divisible by the number (24) 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 202040424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283432500).

202040424 is an abundant number, since it is smaller than the sum of its proper divisors (364824576).

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

202040424 is a wasteful number, since it uses less digits than its factorization.

202040424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 202040424 is about 14214.0924437686. The cubic root of 202040424 is about 586.7855678999.

Adding to 202040424 its reverse (424040202), we get a palindrome (626080626).

The spelling of 202040424 in words is "two hundred two million, forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 149 222 296 298 333 444 447 509 596 666 888 894 1018 1192 1332 1341 1527 1788 2036 2664 2682 3054 3576 4072 4581 5364 5513 6108 9162 10728 11026 12216 16539 18324 18833 22052 33078 36648 37666 44104 49617 56499 66156 75332 75841 99234 112998 132312 150664 151682 169497 198468 225996 227523 303364 338994 396936 451992 455046 606728 677988 682569 910092 1355976 1365138 1820184 2730276 2806117 5460552 5612234 8418351 11224468 16836702 22448936 25255053 33673404 50510106 67346808 101020212 202040424