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5400223224 = 2331127923539
BaseRepresentation
bin1010000011110000…
…01101110111111000
3111221100110202121120
411001320031313320
542024424120344
62251505305240
7250552066014
oct50170156770
914840422546
105400223224
112321315700
121068635220
13680a4a976
143932c3544
15219161219
hex141e0ddf8

5400223224 has 96 divisors (see below), whose sum is σ = 15027936000. Its totient is φ = 1615648320.

The previous prime is 5400223207. The next prime is 5400223229. The reversal of 5400223224 is 4223220045.

It is a happy number.

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 = 5400223194 and 5400223203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5400223229) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 217647 + ... + 241185.

It is an arithmetic number, because the mean of its divisors is an integer number (156541000).

Almost surely, 25400223224 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 5400223224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7513968000).

5400223224 is an abundant number, since it is smaller than the sum of its proper divisors (9627712776).

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

5400223224 is a wasteful number, since it uses less digits than its factorization.

5400223224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23649 (or 23634 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 5400223224 is about 73486.2111147391. The cubic root of 5400223224 is about 1754.4348170737.

Adding to 5400223224 its reverse (4223220045), we get a palindrome (9623443269).

The spelling of 5400223224 in words is "five billion, four hundred million, two hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 121 132 158 237 242 264 316 363 474 484 632 726 869 948 968 1452 1738 1896 2607 2904 3476 5214 6952 9559 10428 19118 20856 23539 28677 38236 47078 57354 70617 76472 94156 114708 141234 188312 229416 258929 282468 517858 564936 776787 1035716 1553574 1859581 2071432 2848219 3107148 3719162 5578743 5696438 6214296 7438324 8544657 11157486 11392876 14876648 17089314 20455391 22314972 22785752 34178628 40910782 44629944 61366173 68357256 81821564 122732346 163643128 225009301 245464692 450018602 490929384 675027903 900037204 1350055806 1800074408 2700111612 5400223224