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216302152 = 231117191757
BaseRepresentation
bin11001110010010…
…00001001001000
3120002000021202211
430321020021020
5420333132102
633244034504
75234352343
oct1471101110
9502007684
10216302152
11101108010
1260532a34
1335a74551
1420a2745a
1513ec97d7
hexce48248

216302152 has 64 divisors (see below), whose sum is σ = 471536640. Its totient is φ = 91929600.

The previous prime is 216302123. The next prime is 216302161. The reversal of 216302152 is 251203612.

It is a super-2 number, since 2×2163021522 = 93573241919662208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285358 + ... + 286114.

It is an arithmetic number, because the mean of its divisors is an integer number (7367760).

Almost surely, 2216302152 is an apocalyptic number.

216302152 is a gapful number since it is divisible by the number (22) 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 216302152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235768320).

216302152 is an abundant number, since it is smaller than the sum of its proper divisors (255234488).

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

216302152 is a wasteful number, since it uses less digits than its factorization.

216302152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 216302152 is about 14707.2142841532. The cubic root of 216302152 is about 600.2796400192.

Adding to 216302152 its reverse (251203612), we get a palindrome (467505764).

The spelling of 216302152 in words is "two hundred sixteen million, three hundred two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 191 374 382 748 757 764 1496 1514 1528 2101 3028 3247 4202 6056 6494 8327 8404 12869 12988 16654 16808 25738 25976 33308 35717 51476 66616 71434 102952 141559 142868 144587 283118 285736 289174 566236 578348 1132472 1156696 1590457 2457979 3180914 4915958 6361828 9831916 12723656 19663832 27037769 54075538 108151076 216302152