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2195730432 = 21232767127
BaseRepresentation
bin1000001011100000…
…0011000000000000
312200000122122220100
42002320003000000
513444101333212
61001514042400
7105261254310
oct20270030000
95600578810
102195730432
11a27483855
12513419400
1328cb9819c
1416b889440
15ccb76bdc
hex82e03000

2195730432 has 312 divisors, whose sum is σ = 7414624256. Its totient is φ = 613122048.

The previous prime is 2195730401. The next prime is 2195730469. The reversal of 2195730432 is 2340375912.

2195730432 is a `hidden beast` number, since 2 + 195 + 7 + 30 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17289153 + ... + 17289279.

Almost surely, 22195730432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2195730432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707312128).

2195730432 is an abundant number, since it is smaller than the sum of its proper divisors (5218893824).

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

2195730432 is a wasteful number, since it uses less digits than its factorization.

2195730432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2195730432 is about 46858.6217466967. The cubic root of 2195730432 is about 1299.7495438610.

The spelling of 2195730432 in words is "two billion, one hundred ninety-five million, seven hundred thirty thousand, four hundred thirty-two".