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2238016 = 26112172
BaseRepresentation
bin1000100010011001000000
311012200222111
420202121000
51033104031
6115545104
725010554
oct10423100
94180874
102238016
111299500
128bb194
13604891
14423864
152e31b1
hex222640

2238016 has 63 divisors (see below), whose sum is σ = 5185537. Its totient is φ = 957440.

The previous prime is 2238013. The next prime is 2238023. The reversal of 2238016 is 6108322.

The square root of 2238016 is 1496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1742400 + 495616 = 1320^2 + 704^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2238011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 131640 + ... + 131656.

22238016 is an apocalyptic number.

2238016 is the 1496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2238016

2238016 is an abundant number, since it is smaller than the sum of its proper divisors (2947521).

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

2238016 is a wasteful number, since it uses less digits than its factorization.

2238016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The cubic root of 2238016 is about 130.8040112615.

Multiplying 2238016 by its product of nonzero digits (576), we get a square (1289097216 = 359042).

The spelling of 2238016 in words is "two million, two hundred thirty-eight thousand, sixteen".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 121 136 176 187 242 272 289 352 374 484 544 578 704 748 968 1088 1156 1496 1936 2057 2312 2992 3179 3872 4114 4624 5984 6358 7744 8228 9248 11968 12716 16456 18496 25432 32912 34969 50864 65824 69938 101728 131648 139876 203456 279752 559504 1119008 2238016