Search a number
-
+
201224963056 = 241312752114621
BaseRepresentation
bin1011101101100111110…
…0010100001111110000
3201020101201021020220111
42323121330110033300
511244102042304211
6232235205151104
720352353651605
oct2733174241760
9636351236814
10201224963056
1178380278067
1232bb99bb494
1315c8b043aa0
149a4ca6c6ac
15537ac91421
hex2ed9f143f0

201224963056 has 80 divisors (see below), whose sum is σ = 424010861568. Its totient is φ = 91958630400.

The previous prime is 201224963053. The next prime is 201224963057. The reversal of 201224963056 is 650369422102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201224963053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13755426 + ... + 13770046.

Almost surely, 2201224963056 is an apocalyptic number.

201224963056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201224963056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212005430784).

201224963056 is an abundant number, since it is smaller than the sum of its proper divisors (222785898512).

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

201224963056 is a wasteful number, since it uses less digits than its factorization.

201224963056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15290 (or 15284 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 201224963056 in words is "two hundred one billion, two hundred twenty-four million, nine hundred sixty-three thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 127 208 254 508 521 1016 1042 1651 2032 2084 3302 4168 6604 6773 8336 13208 13546 14621 26416 27092 29242 54184 58484 66167 108368 116968 132334 190073 233936 264668 380146 529336 760292 860171 1058672 1520584 1720342 1856867 3041168 3440684 3713734 6881368 7427468 7617541 13762736 14854936 15235082 24139271 29709872 30470164 48278542 60940328 96557084 99028033 121880656 193114168 198056066 386228336 396112132 792224264 967427707 1584448528 1934855414 3869710828 7739421656 12576560191 15478843312 25153120382 50306240764 100612481528 201224963056