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215022016 = 2611437103
BaseRepresentation
bin11001101000011…
…11100111000000
3112222121020202101
430310033213000
5420021201031
633200400144
75220441226
oct1464174700
9488536671
10215022016
11100413250
1260016054
1335716981
14207b2b16
1513d25361
hexcd0f9c0

215022016 has 56 divisors (see below), whose sum is σ = 476365824. Its totient is φ = 95450880.

The previous prime is 215022013. The next prime is 215022029. The reversal of 215022016 is 610220512.

It is a junction number, because it is equal to n+sod(n) for n = 215021984 and 215022002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215022013) 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 7 ways as a sum of consecutive naturals, for example, 26721 + ... + 33823.

Almost surely, 2215022016 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 215022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238182912).

215022016 is an abundant number, since it is smaller than the sum of its proper divisors (261343808).

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

215022016 is a wasteful number, since it uses less digits than its factorization.

215022016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7169 (or 7159 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 215022016 is about 14663.6290187661. The cubic root of 215022016 is about 599.0930891377.

Adding to 215022016 its reverse (610220512), we get a palindrome (825242528).

It can be divided in two parts, 2150 and 22016, that multiplied together give a square (47334400 = 68802).

The spelling of 215022016 in words is "two hundred fifteen million, twenty-two thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 172 176 344 352 473 688 704 946 1376 1892 2752 3784 7103 7568 14206 15136 28412 30272 56824 78133 113648 156266 227296 305429 312532 454592 610858 625064 1221716 1250128 2443432 2500256 3359719 4886864 5000512 6719438 9773728 13438876 19547456 26877752 53755504 107511008 215022016