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200142324 = 223231372131
BaseRepresentation
bin10111110110111…
…10110111110100
3111221121021122200
423323132313310
5402214023244
631505424500
74650116214
oct1373366764
9457537580
10200142324
11a2a7a988
125703b130
1332607015
141c81c244
1512886669
hexbededf4

200142324 has 108 divisors (see below), whose sum is σ = 540828288. Its totient is φ = 62337600.

The previous prime is 200142301. The next prime is 200142329. The reversal of 200142324 is 423241002.

200142324 is a `hidden beast` number, since 200 + 142 + 324 = 666.

It is a super-2 number, since 2×2001423242 = 80113899712241952, which contains 22 as substring.

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 = 200142297 and 200142306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200142329) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1527739 + ... + 1527869.

Almost surely, 2200142324 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 200142324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270414144).

200142324 is an abundant number, since it is smaller than the sum of its proper divisors (340685964).

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

200142324 is a wasteful number, since it uses less digits than its factorization.

200142324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 200142324 is about 14147.1666421231. The cubic root of 200142324 is about 584.9422340506.

Adding to 200142324 its reverse (423241002), we get a palindrome (623383326).

The spelling of 200142324 in words is "two hundred million, one hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 37 62 74 93 111 124 131 148 186 222 262 279 333 372 393 444 524 558 666 786 1116 1147 1179 1332 1369 1572 2294 2358 2738 3441 4061 4107 4588 4716 4847 5476 6882 8122 8214 9694 10323 12183 12321 13764 14541 16244 16428 19388 20646 24366 24642 29082 36549 41292 42439 43623 48732 49284 58164 73098 84878 87246 127317 146196 150257 169756 174492 179339 254634 300514 358678 381951 450771 509268 538017 601028 717356 763902 901542 1076034 1352313 1527804 1614051 1803084 2152068 2704626 3228102 5409252 5559509 6456204 11119018 16678527 22238036 33357054 50035581 66714108 100071162 200142324