Search a number
-
+
215015808 = 2737411951
BaseRepresentation
bin11001101000011…
…10000110000000
3112222120221020110
430310032012000
5420021001213
633200311320
75220414150
oct1464160600
9488527213
10215015808
11100409617
1260012540
1335713bb7
14207b0760
1513d235c3
hexcd0e180

215015808 has 128 divisors (see below), whose sum is σ = 668989440. Its totient is φ = 59904000.

The previous prime is 215015777. The next prime is 215015819. The reversal of 215015808 is 808510512.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109233 + ... + 111183.

It is an arithmetic number, because the mean of its divisors is an integer number (5226480).

Almost surely, 2215015808 is an apocalyptic number.

215015808 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 215015808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334494720).

215015808 is an abundant number, since it is smaller than the sum of its proper divisors (453973632).

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

215015808 is a wasteful number, since it uses less digits than its factorization.

215015808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The square root of 215015808 is about 14663.4173370330. The cubic root of 215015808 is about 599.0873235178.

The spelling of 215015808 in words is "two hundred fifteen million, fifteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 287 328 336 384 448 492 574 656 672 861 896 984 1148 1312 1344 1722 1951 1968 2296 2624 2688 3444 3902 3936 4592 5248 5853 6888 7804 7872 9184 11706 13657 13776 15608 15744 18368 23412 27314 27552 31216 36736 40971 46824 54628 55104 62432 79991 81942 93648 109256 110208 124864 159982 163884 187296 218512 239973 249728 319964 327768 374592 437024 479946 559937 639928 655536 749184 874048 959892 1119874 1279856 1311072 1679811 1748096 1919784 2239748 2559712 2622144 3359622 3839568 4479496 5119424 5244288 6719244 7679136 8958992 10238848 13438488 15358272 17917984 26876976 30716544 35835968 53753952 71671936 107507904 215015808