Search a number
-
+
204215088 = 24371125023
BaseRepresentation
bin11000010110000…
…01001100110000
3112020021012102210
430023001030300
5404234340323
632133012120
75026541160
oct1413011460
9466235383
10204215088
11a5301900
1258484040
1333401a3c
141d19c5a0
1512ddd293
hexc2c1330

204215088 has 120 divisors (see below), whose sum is σ = 662846464. Its totient is φ = 53032320.

The previous prime is 204215087. The next prime is 204215119. The reversal of 204215088 is 880512402.

204215088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (204215083) 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, 38145 + ... + 43167.

Almost surely, 2204215088 is an apocalyptic number.

204215088 is a gapful number since it is divisible by the number (28) 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 204215088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331423232).

204215088 is an abundant number, since it is smaller than the sum of its proper divisors (458631376).

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

204215088 is a wasteful number, since it uses less digits than its factorization.

204215088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5063 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 204215088 is about 14290.3844594888. The cubic root of 204215088 is about 588.8833499631.

The spelling of 204215088 in words is "two hundred four million, two hundred fifteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 528 616 726 847 924 968 1232 1452 1694 1848 1936 2541 2904 3388 3696 5023 5082 5808 6776 10046 10164 13552 15069 20092 20328 30138 35161 40184 40656 55253 60276 70322 80368 105483 110506 120552 140644 165759 210966 221012 241104 281288 331518 386771 421932 442024 562576 607783 663036 773542 843864 884048 1160313 1215566 1326072 1547084 1687728 1823349 2320626 2431132 2652144 3094168 3646698 4254481 4641252 4862264 6188336 7293396 8508962 9282504 9724528 12763443 14586792 17017924 18565008 25526886 29173584 34035848 51053772 68071696 102107544 204215088