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7212216 = 23311171607
BaseRepresentation
bin11011100000110010111000
3111120102022010
4123200302320
53321242331
6414325520
7115205604
oct33406270
914512263
107212216
114086710
1224b98a0
1316569ab
14d5a504
15976e46
hex6e0cb8

7212216 has 64 divisors (see below), whose sum is σ = 20839680. Its totient is φ = 2055680.

The previous prime is 7212211. The next prime is 7212239. The reversal of 7212216 is 6122127.

It is a junction number, because it is equal to n+sod(n) for n = 7212192 and 7212201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7212211) 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, 3685 + ... + 5291.

It is an arithmetic number, because the mean of its divisors is an integer number (325620).

Almost surely, 27212216 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 7212216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10419840).

7212216 is an abundant number, since it is smaller than the sum of its proper divisors (13627464).

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

7212216 is a wasteful number, since it uses less digits than its factorization.

7212216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1640 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 7212216 is about 2685.5569254812. The cubic root of 7212216 is about 193.2070227934.

The spelling of 7212216 in words is "seven million, two hundred twelve thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 1607 2244 3214 4488 4821 6428 9642 12856 17677 19284 27319 35354 38568 53031 54638 70708 81957 106062 109276 141416 163914 212124 218552 300509 327828 424248 601018 655656 901527 1202036 1803054 2404072 3606108 7212216