Search a number
-
+
33242202000 = 2432537263827
BaseRepresentation
bin11110111101011000…
…111011111110010000
310011210201001211101200
4132331120323332100
51021040000431000
623134331431200
72254526024550
oct367530737620
9104721054350
1033242202000
11131093a1417
1265388b5500
133199cbb817
141874c9b160
15ce85b1500
hex7bd63bf90

33242202000 has 240 divisors, whose sum is σ = 132690709632. Its totient is φ = 7598188800.

The previous prime is 33242201989. The next prime is 33242202011. The reversal of 33242202000 is 20224233.

It is an interprime number because it is at equal distance from previous prime (33242201989) and next prime (33242202011).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×332422020002 (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 5914 + ... + 257913.

Almost surely, 233242202000 is an apocalyptic number.

33242202000 is a gapful number since it is divisible by the number (30) 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 33242202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66345354816).

33242202000 is an abundant number, since it is smaller than the sum of its proper divisors (99448507632).

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

33242202000 is a wasteful number, since it uses less digits than its factorization.

33242202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263863 (or 263844 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 33242202000 its reverse (20224233), we get a palindrome (33262426233).

The spelling of 33242202000 in words is "thirty-three billion, two hundred forty-two million, two hundred two thousand".