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2228040216 = 233323943159
BaseRepresentation
bin1000010011001101…
…0011001000011000
312202021110011121000
42010303103020120
514030334241331
61005030345000
7106133013033
oct20463231030
95667404530
102228040216
11a43741656
125221bb160
1329679b5bc
14171c9a01a
15d090a0e6
hex84cd3218

2228040216 has 64 divisors (see below), whose sum is σ = 6215040000. Its totient is φ = 739555488.

The previous prime is 2228040083. The next prime is 2228040229. The reversal of 2228040216 is 6120408222.

It is a happy number.

It is a super-3 number, since 3×22280402163 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2228040216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30045 + ... + 73203.

It is an arithmetic number, because the mean of its divisors is an integer number (97110000).

Almost surely, 22228040216 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 2228040216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107520000).

2228040216 is an abundant number, since it is smaller than the sum of its proper divisors (3986999784).

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

2228040216 is a wasteful number, since it uses less digits than its factorization.

2228040216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43413 (or 43403 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2228040216 is about 47202.1208845535. The cubic root of 2228040216 is about 1306.0937217524.

Adding to 2228040216 its reverse (6120408222), we get a palindrome (8348448438).

The spelling of 2228040216 in words is "two billion, two hundred twenty-eight million, forty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 239 478 717 956 1434 1912 2151 2868 4302 5736 6453 8604 12906 17208 25812 43159 51624 86318 129477 172636 258954 345272 388431 517908 776862 1035816 1165293 1553724 2330586 3107448 4661172 9322344 10315001 20630002 30945003 41260004 61890006 82520008 92835009 123780012 185670018 247560024 278505027 371340036 557010054 742680072 1114020108 2228040216