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200888072 = 237112231289
BaseRepresentation
bin10111111100101…
…00111100001000
3112000000011121222
423332110330020
5402411404242
631533421212
74656343340
oct1376247410
9460004558
10200888072
11a343a200
125733a808
13328085a8
141c973d20
15129825d2
hexbf94f08

200888072 has 96 divisors (see below), whose sum is σ = 494121600. Its totient is φ = 74807040.

The previous prime is 200888071. The next prime is 200888081. The reversal of 200888072 is 270888002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200888071) 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, 155204 + ... + 156492.

It is an arithmetic number, because the mean of its divisors is an integer number (5147100).

Almost surely, 2200888072 is an apocalyptic number.

200888072 is a gapful number since it is divisible by the number (22) 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 200888072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247060800).

200888072 is an abundant number, since it is smaller than the sum of its proper divisors (293233528).

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

200888072 is a wasteful number, since it uses less digits than its factorization.

200888072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 200888072 is about 14173.4989328676. The cubic root of 200888072 is about 585.6678490592.

The spelling of 200888072 in words is "two hundred million, eight hundred eighty-eight thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 121 154 161 184 242 253 308 322 484 506 616 644 847 968 1012 1288 1289 1694 1771 2024 2578 2783 3388 3542 5156 5566 6776 7084 9023 10312 11132 14168 14179 18046 19481 22264 28358 29647 36092 38962 56716 59294 72184 77924 99253 113432 118588 155848 155969 198506 207529 237176 311938 326117 397012 415058 623876 652234 794024 830116 1091783 1247752 1304468 1660232 2183566 2282819 2608936 3587287 4367132 4565638 7174574 8734264 9131276 14349148 18262552 25111009 28698296 50222018 100444036 200888072