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31224030304 = 2519312716113
BaseRepresentation
bin11101000101000110…
…001110010001100000
32222121001112002021211
4131011012032101200
51002421322432204
622202155155504
72153521610215
oct350506162140
988531462254
1031224030304
1112273173125
126074a45b94
132c37b5129c
141722c31b0c
15c2b30e804
hex74518e460

31224030304 has 96 divisors (see below), whose sum is σ = 67052482560. Its totient is φ = 14258073600.

The previous prime is 31224030281. The next prime is 31224030311. The reversal of 31224030304 is 40303042213.

It is a happy number.

It is a super-2 number, since 2×312240303042 (a number of 22 digits) contains 22 as substring.

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, 5104752 + ... + 5110864.

It is an arithmetic number, because the mean of its divisors is an integer number (698463360).

Almost surely, 231224030304 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 31224030304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33526241280).

31224030304 is an abundant number, since it is smaller than the sum of its proper divisors (35828452256).

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

31224030304 is a wasteful number, since it uses less digits than its factorization.

31224030304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6444 (or 6436 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 31224030304 its reverse (40303042213), we get a palindrome (71527072517).

The spelling of 31224030304 in words is "thirty-one billion, two hundred twenty-four million, thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 271 304 496 542 589 608 992 1084 1178 2168 2356 4336 4712 5149 6113 8401 8672 9424 10298 12226 16802 18848 20596 24452 33604 41192 48904 67208 82384 97808 116147 134416 159619 164768 189503 195616 232294 268832 319238 379006 464588 638476 758012 929176 1276952 1516024 1656623 1858352 2553904 3032048 3313246 3600557 3716704 5107808 6064096 6626492 7201114 13252984 14402228 26505968 28804456 31475837 51355313 53011936 57608912 62951674 102710626 115217824 125903348 205421252 251806696 410842504 503613392 821685008 975750947 1007226784 1643370016 1951501894 3903003788 7806007576 15612015152 31224030304