Search a number
-
+
200974248 = 2332191071373
BaseRepresentation
bin10111111101010…
…01111110101000
3112000011112211200
423332221332220
5402422133443
631535324200
74660152516
oct1376517650
9460145750
10200974248
11a3498a22
1257380660
1332838897
141c9974b6
151299cdd3
hexbfa9fa8

200974248 has 96 divisors (see below), whose sum is σ = 578728800. Its totient is φ = 62826624.

The previous prime is 200974247. The next prime is 200974259. The reversal of 200974248 is 842479002.

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

It is not an unprimeable number, because it can be changed into a prime (200974243) 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, 145690 + ... + 147062.

It is an arithmetic number, because the mean of its divisors is an integer number (6028425).

Almost surely, 2200974248 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 200974248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289364400).

200974248 is an abundant number, since it is smaller than the sum of its proper divisors (377754552).

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

200974248 is a wasteful number, since it uses less digits than its factorization.

200974248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 200974248 is about 14176.5386466514. The cubic root of 200974248 is about 585.7515827472.

The spelling of 200974248 in words is "two hundred million, nine hundred seventy-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 107 114 152 171 214 228 321 342 428 456 642 684 856 963 1284 1368 1373 1926 2033 2568 2746 3852 4066 4119 5492 6099 7704 8132 8238 10984 12198 12357 16264 16476 18297 24396 24714 26087 32952 36594 48792 49428 52174 73188 78261 98856 104348 146376 146911 156522 208696 234783 293822 313044 440733 469566 587644 626088 881466 939132 1175288 1322199 1762932 1878264 2644398 2791309 3525864 5288796 5582618 8373927 10577592 11165236 16747854 22330472 25121781 33495708 50243562 66991416 100487124 200974248