Search a number
-
+
215925240 = 2335731572
BaseRepresentation
bin11001101111011…
…00000111111000
3120001022010202010
430313230013320
5420234101430
633232005520
75231222436
oct1467540770
9501263663
10215925240
1110097a913
12603908a0
1335971b1b
1420969d56
1513e52cb0
hexcdec1f8

215925240 has 96 divisors (see below), whose sum is σ = 660858480. Its totient is φ = 56429568.

The previous prime is 215925239. The next prime is 215925263. The reversal of 215925240 is 42529512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 215925198 and 215925207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1375242 + ... + 1375398.

Almost surely, 2215925240 is an apocalyptic number.

215925240 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 215925240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330429240).

215925240 is an abundant number, since it is smaller than the sum of its proper divisors (444933240).

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

215925240 is a wasteful number, since it uses less digits than its factorization.

215925240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 215925240 is about 14694.3948497378. The cubic root of 215925240 is about 599.9307697900.

The spelling of 215925240 in words is "two hundred fifteen million, nine hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 157 219 292 314 365 438 471 584 628 730 785 876 942 1095 1256 1460 1570 1752 1884 2190 2355 2920 3140 3768 4380 4710 6280 8760 9420 11461 18840 22922 24649 34383 45844 49298 57305 68766 73947 91688 98596 114610 123245 137532 147894 171915 197192 229220 246490 275064 295788 343830 369735 458440 492980 591576 687660 739470 985960 1375320 1478940 1799377 2957880 3598754 5398131 7197508 8996885 10796262 14395016 17993770 21592524 26990655 35987540 43185048 53981310 71975080 107962620 215925240