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252217248241 = 7418387712073
BaseRepresentation
bin1110101011100101010…
…0011100100111110001
3220010000110020201220111
43222321110130213301
513113020103420431
6311511134541321
724136115144230
oct3527124344761
9803013221814
10252217248241
1197a68074712
1240a6b067841
131aa2654c2ba
14c2c909cb17
1568627e17b1
hex3ab951c9f1

252217248241 has 32 divisors (see below), whose sum is σ = 299201833728. Its totient is φ = 208117416960.

The previous prime is 252217248229. The next prime is 252217248259. The reversal of 252217248241 is 142842712252.

It is a happy number.

It is not a de Polignac number, because 252217248241 - 215 = 252217215473 is a prime.

It is a super-2 number, since 2×2522172482412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252217248194 and 252217248203.

It is not an unprimeable number, because it can be changed into a prime (252217243241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20884981 + ... + 20897053.

It is an arithmetic number, because the mean of its divisors is an integer number (9350057304).

Almost surely, 2252217248241 is an apocalyptic number.

It is an amenable number.

252217248241 is a deficient number, since it is larger than the sum of its proper divisors (46984585487).

252217248241 is a wasteful number, since it uses less digits than its factorization.

252217248241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13081.

The product of its digits is 143360, while the sum is 40.

The spelling of 252217248241 in words is "two hundred fifty-two billion, two hundred seventeen million, two hundred forty-eight thousand, two hundred forty-one".

Divisors: 1 7 41 83 287 581 877 3403 6139 12073 23821 35957 72791 84511 251699 494993 509537 1002059 2984431 3464951 7014413 10588021 20891017 41084419 74116147 287590933 434108861 878805743 3038762027 6151640201 36031035463 252217248241