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113226444 = 223353131151
BaseRepresentation
bin1101011111110…
…11001011001100
321220001111111000
412233323023030
5212441221234
615122500300
72543260152
oct657731314
9256044430
10113226444
1158a05781
1231b04690
131a5c4ac6
14110753d2
159e18899
hex6bfb2cc

113226444 has 96 divisors (see below), whose sum is σ = 303367680. Its totient is φ = 36504000.

The previous prime is 113226413. The next prime is 113226479. The reversal of 113226444 is 444622311.

It is a happy number.

113226444 is a `hidden beast` number, since 1 + 13 + 2 + 2 + 644 + 4 = 666.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749769 + ... + 749919.

It is an arithmetic number, because the mean of its divisors is an integer number (3160080).

Almost surely, 2113226444 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 113226444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151683840).

113226444 is an abundant number, since it is smaller than the sum of its proper divisors (190141236).

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

113226444 is a wasteful number, since it uses less digits than its factorization.

113226444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 113226444 is about 10640.7915119130. The cubic root of 113226444 is about 483.7815363131.

Adding to 113226444 its reverse (444622311), we get a palindrome (557848755).

It can be divided in two parts, 11322 and 6444, that added together give a triangular number (17766 = T188).

The spelling of 113226444 in words is "one hundred thirteen million, two hundred twenty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 131 151 159 212 262 302 318 393 453 477 524 604 636 786 906 954 1179 1359 1431 1572 1812 1908 2358 2718 2862 3537 4077 4716 5436 5724 6943 7074 8003 8154 13886 14148 16006 16308 19781 20829 24009 27772 32012 39562 41658 48018 59343 62487 72027 79124 83316 96036 118686 124974 144054 178029 187461 216081 237372 249948 288108 356058 374922 432162 534087 712116 749844 864324 1048393 1068174 2096786 2136348 3145179 4193572 6290358 9435537 12580716 18871074 28306611 37742148 56613222 113226444