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252251005314 = 237114211296907
BaseRepresentation
bin1110101011101101010…
…1001110000110000010
3220010002210202202220110
43222323111032012002
513113102224132224
6311514342252150
724140005111320
oct3527325160602
9803083682813
10252251005314
1197a85130920
1240a7a427056
131aa3053b3b9
14c2cd768d10
15686575d929
hex3abb54e182

252251005314 has 64 divisors (see below), whose sum is σ = 630484042752. Its totient is φ = 65364062400.

The previous prime is 252251005313. The next prime is 252251005333. The reversal of 252251005314 is 413500152252.

252251005314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (252251005313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453952 + ... + 842955.

It is an arithmetic number, because the mean of its divisors is an integer number (9851313168).

Almost surely, 2252251005314 is an apocalyptic number.

252251005314 is an abundant number, since it is smaller than the sum of its proper divisors (378233037438).

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

252251005314 is a wasteful number, since it uses less digits than its factorization.

252251005314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297351.

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 252251005314 its reverse (413500152252), we get a palindrome (665751157566).

The spelling of 252251005314 in words is "two hundred fifty-two billion, two hundred fifty-one million, five thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 421 462 842 1263 2526 2947 4631 5894 8841 9262 13893 17682 27786 32417 64834 97251 194502 1296907 2593814 3890721 7781442 9078349 14265977 18156698 27235047 28531954 42797931 54470094 85595862 99861839 199723678 299585517 545997847 599171034 1091995694 1637993541 3275987082 3821984929 6005976317 7643969858 11465954787 12011952634 18017928951 22931909574 36035857902 42041834219 84083668438 126125502657 252251005314