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2231689632 = 253233759463
BaseRepresentation
bin1000010100000100…
…1110000110100000
312202112022120122120
42011001032012200
514032303032012
61005240504240
7106206022524
oct20501160640
95675276576
102231689632
11a458044a7
1252347b080
13297478713
14172569d84
15d0dcb58c
hex8504e1a0

2231689632 has 192 divisors, whose sum is σ = 6398300160. Its totient is φ = 679117824.

The previous prime is 2231689627. The next prime is 2231689633. The reversal of 2231689632 is 2369861322.

It is a super-3 number, since 3×22316896323 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2231689633) 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, 4819833 + ... + 4820295.

It is an arithmetic number, because the mean of its divisors is an integer number (33324480).

Almost surely, 22231689632 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 2231689632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199150080).

2231689632 is an abundant number, since it is smaller than the sum of its proper divisors (4166610528).

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

2231689632 is a wasteful number, since it uses less digits than its factorization.

2231689632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 587 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 2231689632 is about 47240.7623985896. The cubic root of 2231689632 is about 1306.8064376840.

The spelling of 2231689632 in words is "two billion, two hundred thirty-one million, six hundred eighty-nine thousand, six hundred thirty-two".