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2208121056 = 253233722751
BaseRepresentation
bin1000001110011101…
…0100000011100000
312200212222011122100
42003213110003200
514010234333211
61003035410400
7105501501501
oct20347240340
95625864570
102208121056
11a33477039
125175b3a00
13292615c0b
1416d392ba8
15cdcc3156
hex839d40e0

2208121056 has 72 divisors (see below), whose sum is σ = 6298254144. Its totient is φ = 733824000.

The previous prime is 2208121001. The next prime is 2208121063. The reversal of 2208121056 is 6501218022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85681 + ... + 108431.

It is an arithmetic number, because the mean of its divisors is an integer number (87475752).

Almost surely, 22208121056 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 2208121056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149127072).

2208121056 is an abundant number, since it is smaller than the sum of its proper divisors (4090133088).

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

2208121056 is a wasteful number, since it uses less digits than its factorization.

2208121056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23104 (or 23093 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2208121056 is about 46990.6486016101. The cubic root of 2208121056 is about 1302.1898114261.

Adding to 2208121056 its reverse (6501218022), we get a palindrome (8709339078).

The spelling of 2208121056 in words is "two billion, two hundred eight million, one hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 337 674 1011 1348 2022 2696 3033 4044 5392 6066 8088 10784 12132 16176 22751 24264 32352 45502 48528 68253 91004 97056 136506 182008 204759 273012 364016 409518 546024 728032 819036 1092048 1638072 2184096 3276144 6552288 7667087 15334174 23001261 30668348 46002522 61336696 69003783 92005044 122673392 138007566 184010088 245346784 276015132 368020176 552030264 736040352 1104060528 2208121056