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200214120 = 233531107503
BaseRepresentation
bin10111110111100…
…00011001101000
3111221201221010210
423323300121220
5402223322440
631511141120
74650535431
oct1373603150
9457657123
10200214120
11a3019917
12570747a0
13326308c2
141c83a488
151289ca80
hexbef0668

200214120 has 128 divisors (see below), whose sum is σ = 627056640. Its totient is φ = 51083520.

The previous prime is 200214109. The next prime is 200214127. The reversal of 200214120 is 21412002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 200214096 and 200214105.

It is not an unprimeable number, because it can be changed into a prime (200214127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397789 + ... + 398291.

It is an arithmetic number, because the mean of its divisors is an integer number (4898880).

Almost surely, 2200214120 is an apocalyptic number.

200214120 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 200214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313528320).

200214120 is an abundant number, since it is smaller than the sum of its proper divisors (426842520).

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

200214120 is a wasteful number, since it uses less digits than its factorization.

200214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 200214120 is about 14149.7038838274. The cubic root of 200214120 is about 585.0121701026.

Adding to 200214120 its reverse (21412002), we get a palindrome (221626122).

The spelling of 200214120 in words is "two hundred million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 107 120 124 155 186 214 248 310 321 372 428 465 503 535 620 642 744 856 930 1006 1070 1240 1284 1509 1605 1860 2012 2140 2515 2568 3018 3210 3317 3720 4024 4280 5030 6036 6420 6634 7545 9951 10060 12072 12840 13268 15090 15593 16585 19902 20120 26536 30180 31186 33170 39804 46779 49755 53821 60360 62372 66340 77965 79608 93558 99510 107642 124744 132680 155930 161463 187116 199020 215284 233895 269105 311860 322926 374232 398040 430568 467790 538210 623720 645852 807315 935580 1076420 1291704 1614630 1668451 1871160 2152840 3229260 3336902 5005353 6458520 6673804 8342255 10010706 13347608 16684510 20021412 25026765 33369020 40042824 50053530 66738040 100107060 200214120