Search a number
-
+
200897200 = 24527157457
BaseRepresentation
bin10111111100101…
…11001010110000
3112000000122011001
423332113022300
5402412202300
631533531344
74656412060
oct1376271260
9460018131
10200897200
11a3446049
1257343b54
133280c7aa
141c9773a0
151298516a
hexbf972b0

200897200 has 120 divisors (see below), whose sum is σ = 556334432. Its totient is φ = 68290560.

The previous prime is 200897197. The next prime is 200897209. The reversal of 200897200 is 2798002.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200897209) 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, 439372 + ... + 439828.

Almost surely, 2200897200 is an apocalyptic number.

200897200 is a gapful number since it is divisible by the number (20) 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 200897200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278167216).

200897200 is an abundant number, since it is smaller than the sum of its proper divisors (355437232).

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

200897200 is a wasteful number, since it uses less digits than its factorization.

200897200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 200897200 is about 14173.8209386178. The cubic root of 200897200 is about 585.6767194965.

The spelling of 200897200 in words is "two hundred million, eight hundred ninety-seven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 157 175 200 280 314 350 400 457 560 628 700 785 914 1099 1256 1400 1570 1828 2198 2285 2512 2800 3140 3199 3656 3925 4396 4570 5495 6280 6398 7312 7850 8792 9140 10990 11425 12560 12796 15700 15995 17584 18280 21980 22850 25592 27475 31400 31990 36560 43960 45700 51184 54950 62800 63980 71749 79975 87920 91400 109900 127960 143498 159950 182800 219800 255920 286996 319900 358745 439600 502243 573992 639800 717490 1004486 1147984 1279600 1434980 1793725 2008972 2511215 2869960 3587450 4017944 5022430 5739920 7174900 8035888 10044860 12556075 14349800 20089720 25112150 28699600 40179440 50224300 100448600 200897200