Search a number
-
+
215497152 = 26331353181
BaseRepresentation
bin11001101100000…
…11100111000000
3120000111101112000
430312003213000
5420131402102
633214504000
75224460403
oct1466034700
9500441460
10215497152
11100708222
1260205000
1335852010
1420897d3a
1513dbb01c
hexcd839c0

215497152 has 224 divisors, whose sum is σ = 698967360. Its totient is φ = 64696320.

The previous prime is 215497109. The next prime is 215497157. The reversal of 215497152 is 251794512.

215497152 is a `hidden beast` number, since 2 + 15 + 497 + 152 = 666.

It is a super-2 number, since 2×2154971522 = 92878045040222208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (25200) is a multiple of the sum of its prime divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215497157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1190502 + ... + 1190682.

It is an arithmetic number, because the mean of its divisors is an integer number (3120390).

Almost surely, 2215497152 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 215497152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349483680).

215497152 is an abundant number, since it is smaller than the sum of its proper divisors (483470208).

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

215497152 is a wasteful number, since it uses less digits than its factorization.

215497152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 215497152 is about 14679.8212523178. The cubic root of 215497152 is about 599.5340382264.

The spelling of 215497152 in words is "two hundred fifteen million, four hundred ninety-seven thousand, one hundred fifty-two".