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1006218224 = 24115717149
BaseRepresentation
bin111011111110011…
…010101111110000
32121010101011220122
4323332122233300
54030042440344
6243502425412
733635466554
oct7376325760
92533334818
101006218224
11476a90710
12240b92268
131306065cb
14978c9864
155d50daee
hex3bf9abf0

1006218224 has 20 divisors (see below), whose sum is σ = 2126779800. Its totient is φ = 457371840.

The previous prime is 1006218223. The next prime is 1006218271. The reversal of 1006218224 is 4228126001.

It is a happy number.

It is a super-2 number, since 2×10062182242 = 2024950228619428352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1006218193 and 1006218202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006218223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2858399 + ... + 2858750.

It is an arithmetic number, because the mean of its divisors is an integer number (106338990).

Almost surely, 21006218224 is an apocalyptic number.

It is an amenable number.

1006218224 is an abundant number, since it is smaller than the sum of its proper divisors (1120561576).

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

1006218224 is a wasteful number, since it uses less digits than its factorization.

1006218224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5717168 (or 5717162 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 1006218224 is about 31720.9429872442. The cubic root of 1006218224 is about 1002.0684598572.

The spelling of 1006218224 in words is "one billion, six million, two hundred eighteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 5717149 11434298 22868596 45737192 62888639 91474384 125777278 251554556 503109112 1006218224