Search a number
-
+
215021961 = 32711267421
BaseRepresentation
bin11001101000011…
…11100110001001
3112222121020200100
430310033212021
5420021200321
633200400013
75220441120
oct1464174611
9488536610
10215021961
11100413200
1260016009
133571693b
14207b2ab7
1513d25326
hexcd0f989

215021961 has 72 divisors (see below), whose sum is σ = 396923072. Its totient is φ = 109771200.

The previous prime is 215021951. The next prime is 215021977. The reversal of 215021961 is 169120512.

215021961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 215021961 - 25 = 215021929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (215021951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 510531 + ... + 510951.

Almost surely, 2215021961 is an apocalyptic number.

215021961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

215021961 is a deficient number, since it is larger than the sum of its proper divisors (181901111).

215021961 is a wasteful number, since it uses less digits than its factorization.

215021961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 215021961 is about 14663.6271433776. The cubic root of 215021961 is about 599.0930380575.

The spelling of 215021961 in words is "two hundred fifteen million, twenty-one thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 11 21 33 63 67 77 99 121 201 231 363 421 469 603 693 737 847 1089 1263 1407 2211 2541 2947 3789 4221 4631 5159 6633 7623 8107 8841 13893 15477 24321 26523 28207 32417 41679 46431 50941 56749 72963 84621 97251 152823 170247 197449 253863 291753 310277 356587 458469 510741 592347 930831 1069761 1777041 2171939 2792493 3209283 3413047 6515817 10239141 19547451 23891329 30717423 71673987 215021961