Search a number
-
+
133222302000 = 24325317232823
BaseRepresentation
bin111110000010010101…
…0110000000100110000
3110201212111021010222100
41330010222300010300
54140314402131000
6141111304140400
712424241611554
oct1740452600460
9421774233870
10133222302000
1151554575337
122199ba67700
13c7416514c8
14663b41b864
1536eabb9a00
hex1f04ab0130

133222302000 has 720 divisors, whose sum is σ = 515649371328. Its totient is φ = 31943577600.

The previous prime is 133222301959. The next prime is 133222302011. The reversal of 133222302000 is 203222331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 161873589 + ... + 161874411.

Almost surely, 2133222302000 is an apocalyptic number.

133222302000 is a gapful number since it is divisible by the number (10) 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 133222302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257824685664).

133222302000 is an abundant number, since it is smaller than the sum of its proper divisors (382427069328).

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

133222302000 is a wasteful number, since it uses less digits than its factorization.

133222302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 133222302000 its reverse (203222331), we get a palindrome (133425524331).

The spelling of 133222302000 in words is "one hundred thirty-three billion, two hundred twenty-two million, three hundred two thousand".