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5132224240 = 24511131512971
BaseRepresentation
bin1001100011110011…
…11000011011110000
3111020200012000010021
410301321320123300
541002322133430
62205133213224
7241116120613
oct46171703360
914220160107
105132224240
1121a4009040
12bb2931214
1363a3758a0
1436988017a
1520087407a
hex131e786f0

5132224240 has 160 divisors (see below), whose sum is σ = 14116096512. Its totient is φ = 1710720000.

The previous prime is 5132224219. The next prime is 5132224243. The reversal of 5132224240 is 424222315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5132224243) 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 31 ways as a sum of consecutive naturals, for example, 1725955 + ... + 1728925.

Almost surely, 25132224240 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 5132224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058048256).

5132224240 is an abundant number, since it is smaller than the sum of its proper divisors (8983872272).

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

5132224240 is a wasteful number, since it uses less digits than its factorization.

5132224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 5132224240 is about 71639.5438288101. The cubic root of 5132224240 is about 1724.9183455012.

Adding to 5132224240 its reverse (424222315), we get a palindrome (5556446555).

The spelling of 5132224240 in words is "five billion, one hundred thirty-two million, two hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 151 176 208 220 260 286 302 440 520 572 604 715 755 880 1040 1144 1208 1430 1510 1661 1963 2288 2416 2860 2971 3020 3322 3926 5720 5942 6040 6644 7852 8305 9815 11440 11884 12080 13288 14855 15704 16610 19630 21593 23768 26576 29710 31408 32681 33220 38623 39260 43186 47536 59420 65362 66440 77246 78520 86372 107965 118840 130724 132880 154492 157040 163405 172744 193115 215930 237680 261448 308984 326810 345488 386230 424853 431860 448621 522896 617968 653620 772460 849706 863720 897242 1307240 1544920 1699412 1727440 1794484 2124265 2243105 2614480 3089840 3398824 3588968 4248530 4486210 4934831 5832073 6797648 7177936 8497060 8972420 9869662 11664146 16994120 17944840 19739324 23328292 24674155 29160365 33988240 35889680 39478648 46656584 49348310 58320730 64152803 78957296 93313168 98696620 116641460 128305606 197393240 233282920 256611212 320764015 394786480 466565840 513222424 641528030 1026444848 1283056060 2566112120 5132224240