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2002234432 = 261121767227
BaseRepresentation
bin111011101010111…
…1010110001000000
312011112120001021211
41313111322301000
513100033000212
6530402455504
7100421466112
oct16725726100
95145501254
102002234432
11938233400
1247a664594
1325ba7a403
1414dcbb3b2
15baba49a7
hex7757ac40

2002234432 has 168 divisors, whose sum is σ = 4713805152. Its totient is φ = 840069120.

The previous prime is 2002234349. The next prime is 2002234441. The reversal of 2002234432 is 2344322002.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8820303 + ... + 8820529.

It is an arithmetic number, because the mean of its divisors is an integer number (28058364).

Almost surely, 22002234432 is an apocalyptic number.

2002234432 is a gapful number since it is divisible by the number (22) 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 2002234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356902576).

2002234432 is an abundant number, since it is smaller than the sum of its proper divisors (2711570720).

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

2002234432 is a wasteful number, since it uses less digits than its factorization.

2002234432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2002234432 is about 44746.3342856150. The cubic root of 2002234432 is about 1260.3900765887.

Adding to 2002234432 its reverse (2344322002), we get a palindrome (4346556434).

The spelling of 2002234432 in words is "two billion, two million, two hundred thirty-four thousand, four hundred thirty-two".