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200232132000 = 2535340141611
BaseRepresentation
bin1011101001111011000…
…0111101110110100000
3201010211112002012201220
42322132300331312200
511240033411211000
6231552501255040
720315640016455
oct2723660756640
9633745065656
10200232132000
1177a1090042a
1232981404480
1315b604469a4
149996c6982c
15531da291a0
hex2e9ec3dda0

200232132000 has 192 divisors, whose sum is σ = 657612079488. Its totient is φ = 53260800000.

The previous prime is 200232131977. The next prime is 200232132007. The reversal of 200232132000 is 231232002.

200232132000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (200232132007) 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, 4791195 + ... + 4832805.

It is an arithmetic number, because the mean of its divisors is an integer number (3425062914).

Almost surely, 2200232132000 is an apocalyptic number.

200232132000 is a gapful number since it is divisible by the number (20) 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 200232132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328806039744).

200232132000 is an abundant number, since it is smaller than the sum of its proper divisors (457379947488).

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

200232132000 is a wasteful number, since it uses less digits than its factorization.

200232132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42040 (or 42022 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 200232132000 its reverse (231232002), we get a palindrome (200463364002).

The spelling of 200232132000 in words is "two hundred billion, two hundred thirty-two million, one hundred thirty-two thousand".