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200045232 = 243231411093
BaseRepresentation
bin10111110110001…
…11001010110000
3111221102100110200
423323013022300
5402202421412
631503355200
74646233152
oct1373071260
9457370420
10200045232
11a2a13a42
1256bb2b00
13325a1a7a
141c7d4ad2
15128679dc
hexbec72b0

200045232 has 120 divisors (see below), whose sum is σ = 592545408. Its totient is φ = 62899200.

The previous prime is 200045231. The next prime is 200045233. The reversal of 200045232 is 232540002.

It is an interprime number because it is at equal distance from previous prime (200045231) and next prime (200045233).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200045231) 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, 182478 + ... + 183570.

Almost surely, 2200045232 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 200045232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296272704).

200045232 is an abundant number, since it is smaller than the sum of its proper divisors (392500176).

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

200045232 is a wasteful number, since it uses less digits than its factorization.

200045232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 200045232 is about 14143.7347260191. The cubic root of 200045232 is about 584.8476307096.

Adding to 200045232 its reverse (232540002), we get a palindrome (432585234).

The spelling of 200045232 in words is "two hundred million, forty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 41 48 62 72 82 93 123 124 144 164 186 246 248 279 328 369 372 492 496 558 656 738 744 984 1093 1116 1271 1476 1488 1968 2186 2232 2542 2952 3279 3813 4372 4464 5084 5904 6558 7626 8744 9837 10168 11439 13116 15252 17488 19674 20336 22878 26232 30504 33883 39348 44813 45756 52464 61008 67766 78696 89626 91512 101649 134439 135532 157392 179252 183024 203298 268878 271064 304947 358504 403317 406596 537756 542128 609894 717008 806634 813192 1075512 1219788 1389203 1613268 1626384 2151024 2439576 2778406 3226536 4167609 4879152 5556812 6453072 8335218 11113624 12502827 16670436 22227248 25005654 33340872 50011308 66681744 100022616 200045232