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256002216 = 233312231543
BaseRepresentation
bin11110100001001…
…00100010101000
3122211201021000120
433100210202220
51011014032331
641223003240
76225661101
oct1720444250
9584637016
10256002216
11121563288
1271899520
1341064702
1425ddd3a8
151771c796
hexf4248a8

256002216 has 64 divisors (see below), whose sum is σ = 664043520. Its totient is φ = 82157760.

The previous prime is 256002211. The next prime is 256002217. The reversal of 256002216 is 612200652.

256002216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (256002211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165141 + ... + 166683.

It is an arithmetic number, because the mean of its divisors is an integer number (10375680).

Almost surely, 2256002216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256002216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332021760).

256002216 is an abundant number, since it is smaller than the sum of its proper divisors (408041304).

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

256002216 is a wasteful number, since it uses less digits than its factorization.

256002216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 256002216 is about 16000.0692498501. The cubic root of 256002216 is about 634.9622529074.

Adding to 256002216 its reverse (612200652), we get a palindrome (868202868).

The spelling of 256002216 in words is "two hundred fifty-six million, two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 223 248 372 446 669 744 892 1338 1543 1784 2676 3086 4629 5352 6172 6913 9258 12344 13826 18516 20739 27652 37032 41478 47833 55304 82956 95666 143499 165912 191332 286998 344089 382664 573996 688178 1032267 1147992 1376356 2064534 2752712 4129068 8258136 10666759 21333518 32000277 42667036 64000554 85334072 128001108 256002216