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5016222240 = 253524774219
BaseRepresentation
bin1001010101111110…
…10111101000100000
3110221120220111021220
410222333113220200
540233123102430
62145431015040
7235210120431
oct45277275040
913846814256
105016222240
112144588017
12b7bb0a480
1361c31b653
143582c5488
151e55ad110
hex12afd7a20

5016222240 has 96 divisors (see below), whose sum is σ = 15811225920. Its totient is φ = 1336802304.

The previous prime is 5016222227. The next prime is 5016222247. The reversal of 5016222240 is 422226105.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×50162222402 = 50324971122141235200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5016222240.

It is not an unprimeable number, because it can be changed into a prime (5016222247) 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 15 ways as a sum of consecutive naturals, for example, 1186851 + ... + 1191069.

It is an arithmetic number, because the mean of its divisors is an integer number (164700270).

Almost surely, 25016222240 is an apocalyptic number.

It is an amenable number.

5016222240 is an abundant number, since it is smaller than the sum of its proper divisors (10795003680).

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

5016222240 is a wasteful number, since it uses less digits than its factorization.

5016222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6714 (or 6706 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5016222240 is about 70825.2937868951. The cubic root of 5016222240 is about 1711.8232596246.

Adding to 5016222240 its reverse (422226105), we get a palindrome (5438448345).

The spelling of 5016222240 in words is "five billion, sixteen million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2477 4219 4954 7431 8438 9908 12385 12657 14862 16876 19816 21095 24770 25314 29724 33752 37155 39632 42190 49540 50628 59448 63285 67504 74310 79264 84380 99080 101256 118896 126570 135008 148620 168760 198160 202512 237792 253140 297240 337520 396320 405024 506280 594480 675040 1012560 1188960 2025120 10450463 20900926 31351389 41801852 52252315 62702778 83603704 104504630 125405556 156756945 167207408 209009260 250811112 313513890 334414816 418018520 501622224 627027780 836037040 1003244448 1254055560 1672074080 2508111120 5016222240