Search a number
-
+
200700448 = 25133179197
BaseRepresentation
bin10111111011001…
…11001000100000
3111222122122020221
423331213020200
5402334403243
631525412424
74654632334
oct1375471040
9458578227
10200700448
11a3321243
125726a114
1332771080
141c9257c4
1512946bed
hexbf67220

200700448 has 96 divisors (see below), whose sum is σ = 447068160. Its totient is φ = 88058880.

The previous prime is 200700421. The next prime is 200700473. The reversal of 200700448 is 844007002.

200700448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1018686 + ... + 1018882.

It is an arithmetic number, because the mean of its divisors is an integer number (4656960).

Almost surely, 2200700448 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 200700448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223534080).

200700448 is an abundant number, since it is smaller than the sum of its proper divisors (246367712).

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

200700448 is a wasteful number, since it uses less digits than its factorization.

200700448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 200700448 is about 14166.8785552782. The cubic root of 200700448 is about 585.4854596468.

The spelling of 200700448 in words is "two hundred million, seven hundred thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 79 104 124 158 197 208 248 316 394 403 416 496 632 788 806 992 1027 1264 1576 1612 2054 2449 2528 2561 3152 3224 4108 4898 5122 6107 6304 6448 8216 9796 10244 12214 12896 15563 16432 19592 20488 24428 31126 31837 32864 39184 40976 48856 62252 63674 78368 79391 81952 97712 124504 127348 158782 195424 202319 249008 254696 317564 404638 482453 498016 509392 635128 809276 964906 1018784 1270256 1618552 1929812 2540512 3237104 3859624 6271889 6474208 7719248 12543778 15438496 25087556 50175112 100350224 200700448