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216004122 = 23219292751
BaseRepresentation
bin11001101111111…
…11011000011010
3120001110010221200
430313333120122
5420244112442
633233415030
75232001425
oct1467773032
9501403850
10216004122
11100a24104
126040a476
133599b9b9
142098a9bc
1513e6b34c
hexcdff61a

216004122 has 72 divisors (see below), whose sum is σ = 510893760. Its totient is φ = 65772000.

The previous prime is 216004079. The next prime is 216004147. The reversal of 216004122 is 221400612.

216004122 is a `hidden beast` number, since 2 + 1 + 600 + 41 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 216004095 and 216004104.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 287247 + ... + 287997.

Almost surely, 2216004122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216004122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255446880).

216004122 is an abundant number, since it is smaller than the sum of its proper divisors (294889638).

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

216004122 is a wasteful number, since it uses less digits than its factorization.

216004122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 216004122 is about 14697.0786893178. The cubic root of 216004122 is about 600.0038166424.

Adding to 216004122 its reverse (221400612), we get a palindrome (437404734).

The spelling of 216004122 in words is "two hundred sixteen million, four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 522 551 751 841 1102 1502 1653 1682 2253 2523 3306 4506 4959 5046 6759 7569 9918 13518 14269 15138 15979 21779 28538 31958 42807 43558 47937 65337 85614 95874 128421 130674 143811 196011 256842 287622 392022 413801 631591 827602 1241403 1263182 1894773 2482806 3724209 3789546 5684319 7448418 11368638 12000229 24000458 36000687 72001374 108002061 216004122