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32232012000 = 253537137831
BaseRepresentation
bin11110000001001011…
…010111100011100000
310002012022012212020020
4132001023113203200
51012002343341000
622450203513440
72220511403316
oct360113274340
9102168185206
1032232012000
1112740148751
1262b6528880
133068924466
1417baa5a0b6
15c89a6aba0
hex7812d78e0

32232012000 has 192 divisors, whose sum is σ = 107082114048. Its totient is φ = 8473920000.

The previous prime is 32232011971. The next prime is 32232012037. The reversal of 32232012000 is 21023223.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 833085 + ... + 870915.

It is an arithmetic number, because the mean of its divisors is an integer number (557719344).

Almost surely, 232232012000 is an apocalyptic number.

32232012000 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 32232012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53541057024).

32232012000 is an abundant number, since it is smaller than the sum of its proper divisors (74850102048).

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

32232012000 is a wasteful number, since it uses less digits than its factorization.

32232012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37930 (or 37912 counting only the distinct ones).

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

Adding to 32232012000 its reverse (21023223), we get a palindrome (32253035223).

The spelling of 32232012000 in words is "thirty-two billion, two hundred thirty-two million, twelve thousand".