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113224440 = 23357373643
BaseRepresentation
bin1101011111110…
…10101011111000
321220001101201210
412233322223320
5212441140230
615122443120
72543251260
oct657725370
9256041653
10113224440
1158a0421a
1231b034a0
131a5c3c14
14110747a0
159e17eb0
hex6bfaaf8

113224440 has 128 divisors (see below), whose sum is σ = 398799360. Its totient is φ = 25173504.

The previous prime is 113224429. The next prime is 113224487. The reversal of 113224440 is 44422311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29259 + ... + 32901.

It is an arithmetic number, because the mean of its divisors is an integer number (3115620).

Almost surely, 2113224440 is an apocalyptic number.

113224440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199399680).

113224440 is an abundant number, since it is smaller than the sum of its proper divisors (285574920).

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

113224440 is a wasteful number, since it uses less digits than its factorization.

113224440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 113224440 is about 10640.6973455690. The cubic root of 113224440 is about 483.7786821391.

Adding to 113224440 its reverse (44422311), we get a palindrome (157646751).

The spelling of 113224440 in words is "one hundred thirteen million, two hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 1036 1110 1295 1480 1554 2072 2220 2590 3108 3643 3885 4440 5180 6216 7286 7770 10360 10929 14572 15540 18215 21858 25501 29144 31080 36430 43716 51002 54645 72860 76503 87432 102004 109290 127505 134791 145720 153006 204008 218580 255010 269582 306012 382515 404373 437160 510020 539164 612024 673955 765030 808746 943537 1020040 1078328 1347910 1530060 1617492 1887074 2021865 2695820 2830611 3060120 3234984 3774148 4043730 4717685 5391640 5661222 7548296 8087460 9435370 11322444 14153055 16174920 18870740 22644888 28306110 37741480 56612220 113224440