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216016122 = 23731251661
BaseRepresentation
bin11001110000000…
…10010011111010
3120001110202102010
430320002103322
5420300003442
633233550350
75232051420
oct1470022372
9501422363
10216016122
11100a32123
12604153b6
13359a42ba
1420991110
1513e6eb9c
hexce024fa

216016122 has 64 divisors (see below), whose sum is σ = 512483328. Its totient is φ = 59400000.

The previous prime is 216016121. The next prime is 216016123. The reversal of 216016122 is 221610612.

It is an interprime number because it is at equal distance from previous prime (216016121) and next prime (216016123).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (216016121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326472 + ... + 327132.

It is an arithmetic number, because the mean of its divisors is an integer number (8007552).

Almost surely, 2216016122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216016122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256241664).

216016122 is an abundant number, since it is smaller than the sum of its proper divisors (296467206).

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

216016122 is a wasteful number, since it uses less digits than its factorization.

216016122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 216016122 is about 14697.4869280432. The cubic root of 216016122 is about 600.0149274064.

Adding to 216016122 its reverse (221610612), we get a palindrome (437626734).

The spelling of 216016122 in words is "two hundred sixteen million, sixteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 251 434 502 651 661 753 1302 1322 1506 1757 1983 3514 3966 4627 5271 7781 9254 10542 13881 15562 20491 23343 27762 40982 46686 54467 61473 108934 122946 143437 163401 165911 286874 326802 331822 430311 497733 860622 995466 1161377 2322754 3484131 5143241 6968262 10286482 15429723 30859446 36002687 72005374 108008061 216016122