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11914224 = 243759601
BaseRepresentation
bin101101011100…
…101111110000
3211102022020120
4231130233300
511022223344
61103210240
7203161230
oct55345760
924368216
1011914224
1167a8373
123ba6980
132611c4a
141821cc0
1510a5219
hexb5cbf0

11914224 has 80 divisors (see below), whose sum is σ = 35831040. Its totient is φ = 3340800.

The previous prime is 11914193. The next prime is 11914247. The reversal of 11914224 is 42241911.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11914194 and 11914203.

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, 19524 + ... + 20124.

It is an arithmetic number, because the mean of its divisors is an integer number (447888).

Almost surely, 211914224 is an apocalyptic number.

11914224 is a gapful number since it is divisible by the number (14) 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 11914224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17915520).

11914224 is an abundant number, since it is smaller than the sum of its proper divisors (23916816).

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

11914224 is a wasteful number, since it uses less digits than its factorization.

11914224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 11914224 is about 3451.6987122285. The cubic root of 11914224 is about 228.3960490993.

The spelling of 11914224 in words is "eleven million, nine hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 601 708 826 944 1202 1239 1416 1652 1803 2404 2478 2832 3304 3606 4207 4808 4956 6608 7212 8414 9616 9912 12621 14424 16828 19824 25242 28848 33656 35459 50484 67312 70918 100968 106377 141836 201936 212754 248213 283672 425508 496426 567344 744639 851016 992852 1489278 1702032 1985704 2978556 3971408 5957112 11914224