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6252231120 = 2435139187417
BaseRepresentation
bin1011101001010100…
…10111100111010000
3121010201200020201120
411310222113213100
5100301032343440
62512223002240
7310636042032
oct56452274720
917121606646
106252231120
112719248863
121265a39380
1378840cb55
14434509c52
15268d5cdd0
hex174a979d0

6252231120 has 80 divisors (see below), whose sum is σ = 19521458880. Its totient is φ = 1655258112.

The previous prime is 6252231113. The next prime is 6252231137. The reversal of 6252231120 is 211322526.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

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, 60349 + ... + 127068.

It is an arithmetic number, because the mean of its divisors is an integer number (244018236).

Almost surely, 26252231120 is an apocalyptic number.

6252231120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6252231120 is an abundant number, since it is smaller than the sum of its proper divisors (13269227760).

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

6252231120 is a wasteful number, since it uses less digits than its factorization.

6252231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187572 (or 187566 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 6252231120 is about 79071.0510869813. The cubic root of 6252231120 is about 1842.2349103465.

Adding to 6252231120 its reverse (211322526), we get a palindrome (6463553646).

The spelling of 6252231120 in words is "six billion, two hundred fifty-two million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 5560 6672 8340 11120 16680 33360 187417 374834 562251 749668 937085 1124502 1499336 1874170 2249004 2811255 2998672 3748340 4498008 5622510 7496680 8996016 11245020 14993360 22490040 26050963 44980080 52101926 78152889 104203852 130254815 156305778 208407704 260509630 312611556 390764445 416815408 521019260 625223112 781528890 1042038520 1250446224 1563057780 2084077040 3126115560 6252231120