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2228942208 = 27339714621
BaseRepresentation
bin1000010011011010…
…1111010110000000
312202100010222220010
42010312233112000
514031102122313
61005101544520
7106143460533
oct20466572600
95670128803
102228942208
11a441a82a9
12522575140
13296a2601c
14172052a1a
15d0a374c3
hex84daf580

2228942208 has 64 divisors (see below), whose sum is σ = 5935947120. Its totient is φ = 741058560.

The previous prime is 2228942203. The next prime is 2228942227. The reversal of 2228942208 is 8022498222.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228942201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145138 + ... + 159758.

Almost surely, 22228942208 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 2228942208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967973560).

2228942208 is an abundant number, since it is smaller than the sum of its proper divisors (3707004912).

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

2228942208 is a wasteful number, since it uses less digits than its factorization.

2228942208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15035 (or 15023 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 2228942208 is about 47211.6744884144. The cubic root of 2228942208 is about 1306.2699494431.

The spelling of 2228942208 in words is "two billion, two hundred twenty-eight million, nine hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 397 794 1191 1588 2382 3176 4764 6352 9528 12704 14621 19056 25408 29242 38112 43863 50816 58484 76224 87726 116968 152448 175452 233936 350904 467872 701808 935744 1403616 1871488 2807232 5614464 5804537 11609074 17413611 23218148 34827222 46436296 69654444 92872592 139308888 185745184 278617776 371490368 557235552 742980736 1114471104 2228942208