Search a number
-
+
52222002126000 = 243537172910124971
BaseRepresentation
bin10111101111110111000011…
…11000101101110010110000
320211220101010010011121101220
423313323201320231302300
523321101130021013000
6303022242342225040
713666625616025140
oct1367734170556260
9224811103147356
1052222002126000
1115704254858a83
125a34b82a25180
13231a68a6c1085
14cc77b6310920
156086329b01a0
hex2f7ee1e2dcb0

52222002126000 has 1280 divisors, whose sum is σ = 212854839275520. Its totient is φ = 10739097600000.

The previous prime is 52222002125941. The next prime is 52222002126031. The reversal of 52222002126000 is 62120022225.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2091293515 + ... + 2091318485.

It is an arithmetic number, because the mean of its divisors is an integer number (166292843184).

Almost surely, 252222002126000 is an apocalyptic number.

52222002126000 is a gapful number since it is divisible by the number (50) 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 52222002126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106427419637760).

52222002126000 is an abundant number, since it is smaller than the sum of its proper divisors (160632837149520).

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

52222002126000 is a wasteful number, since it uses less digits than its factorization.

52222002126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25151 (or 25135 counting only the distinct ones).

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

Adding to 52222002126000 its reverse (62120022225), we get a palindrome (52284122148225).

The spelling of 52222002126000 in words is "fifty-two trillion, two hundred twenty-two billion, two million, one hundred twenty-six thousand".