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216040152 = 233411811213
BaseRepresentation
bin11001110000010…
…00001011011000
3120001111222101010
430320020023120
5420301241102
633234253520
75232211446
oct1470101330
9501458333
10216040152
11100a49189
12604272a0
13359b2213
1420999b96
1513e76d6c
hexce082d8

216040152 has 64 divisors (see below), whose sum is σ = 556788960. Its totient is φ = 69811200.

The previous prime is 216040141. The next prime is 216040159. The reversal of 216040152 is 251040612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216040159) 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, 177498 + ... + 178710.

Almost surely, 2216040152 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 216040152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278394480).

216040152 is an abundant number, since it is smaller than the sum of its proper divisors (340748808).

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

216040152 is a wasteful number, since it uses less digits than its factorization.

216040152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 216040152 is about 14698.3043920039. The cubic root of 216040152 is about 600.0371754744.

Adding to 216040152 its reverse (251040612), we get a palindrome (467080764).

The spelling of 216040152 in words is "two hundred sixteen million, forty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 181 246 328 362 492 543 724 984 1086 1213 1448 2172 2426 3639 4344 4852 7278 7421 9704 14556 14842 22263 29112 29684 44526 49733 59368 89052 99466 149199 178104 198932 219553 298398 397864 439106 596796 658659 878212 1193592 1317318 1756424 2634636 5269272 9001673 18003346 27005019 36006692 54010038 72013384 108020076 216040152