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11442224 = 2417233159
BaseRepresentation
bin101011101001…
…100000110000
3210112022210002
4223221200300
510412122344
61045125132
7166154153
oct53514060
923468702
1011442224
116505792
1239b97a8
1324a8161
14173bc9a
15101044e
hexae9830

11442224 has 80 divisors (see below), whose sum is σ = 25712640. Its totient is φ = 4899840.

The previous prime is 11442209. The next prime is 11442227. The reversal of 11442224 is 42224411.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11442196 and 11442205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11442227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193907 + ... + 193965.

It is an arithmetic number, because the mean of its divisors is an integer number (321408).

Almost surely, 211442224 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 11442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856320).

11442224 is an abundant number, since it is smaller than the sum of its proper divisors (14270416).

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

11442224 is a wasteful number, since it uses less digits than its factorization.

11442224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 11442224 is about 3382.6356587726. The cubic root of 11442224 is about 225.3392347773.

Adding to 11442224 its reverse (42224411), we get a palindrome (53666635).

The spelling of 11442224 in words is "eleven million, four hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 23 31 34 46 59 62 68 92 118 124 136 184 236 248 272 368 391 472 496 527 713 782 944 1003 1054 1357 1426 1564 1829 2006 2108 2714 2852 3128 3658 4012 4216 5428 5704 6256 7316 8024 8432 10856 11408 12121 14632 16048 21712 23069 24242 29264 31093 42067 46138 48484 62186 84134 92276 96968 124372 168268 184552 193936 248744 336536 369104 497488 673072 715139 1430278 2860556 5721112 11442224