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200132200 = 235223139313
BaseRepresentation
bin10111110110111…
…00011001101000
3111221120202202201
423323130121220
5402213212300
631505305544
74650044542
oct1373343150
9457522681
10200132200
11a2a73314
12570352b4
1332602528
141c818692
151288366a
hexbedc668

200132200 has 96 divisors (see below), whose sum is σ = 490593600. Its totient is φ = 75778560.

The previous prime is 200132159. The next prime is 200132209. The reversal of 200132200 is 2231002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (200132209) 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, 639244 + ... + 639556.

It is an arithmetic number, because the mean of its divisors is an integer number (5110350).

Almost surely, 2200132200 is an apocalyptic number.

200132200 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 200132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245296800).

200132200 is an abundant number, since it is smaller than the sum of its proper divisors (290461400).

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

200132200 is a wasteful number, since it uses less digits than its factorization.

200132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 200132200 is about 14146.8088274353. The cubic root of 200132200 is about 584.9323709777.

Adding to 200132200 its reverse (2231002), we get a palindrome (202363202).

The spelling of 200132200 in words is "two hundred million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 139 184 200 230 278 313 460 556 575 626 695 920 1112 1150 1252 1390 1565 2300 2504 2780 3130 3197 3475 4600 5560 6260 6394 6950 7199 7825 12520 12788 13900 14398 15650 15985 25576 27800 28796 31300 31970 35995 43507 57592 62600 63940 71990 79925 87014 127880 143980 159850 174028 179975 217535 287960 319700 348056 359950 435070 639400 719900 870140 1000661 1087675 1439800 1740280 2001322 2175350 4002644 4350700 5003305 8005288 8701400 10006610 20013220 25016525 40026440 50033050 100066100 200132200