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2231340032 = 21017235573
BaseRepresentation
bin1000010011111111…
…1000110000000000
312202111122211002102
42010333320300000
514032210340112
61005225205532
7106203035345
oct20477706000
95674584072
102231340032
11a45595879
125233308a8
1329738555c
141724b87cc
15d0d5cbc2
hex84ff8c00

2231340032 has 88 divisors (see below), whose sum is σ = 4929110496. Its totient is φ = 1004208128.

The previous prime is 2231339989. The next prime is 2231340043. The reversal of 2231340032 is 2300431322.

It is a super-3 number, since 3×22313400323 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2231339986 and 2231340013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397598 + ... + 403170.

Almost surely, 22231340032 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 2231340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464555248).

2231340032 is an abundant number, since it is smaller than the sum of its proper divisors (2697770464).

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

2231340032 is a wasteful number, since it uses less digits than its factorization.

2231340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2231340032 is about 47237.0620593618. The cubic root of 2231340032 is about 1306.7381959084.

Adding to 2231340032 its reverse (2300431322), we get a palindrome (4531771354).

The spelling of 2231340032 in words is "two billion, two hundred thirty-one million, three hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 256 272 368 391 512 544 736 782 1024 1088 1472 1564 2176 2944 3128 4352 5573 5888 6256 8704 11146 11776 12512 17408 22292 23552 25024 44584 50048 89168 94741 100096 128179 178336 189482 200192 256358 356672 378964 400384 512716 713344 757928 1025432 1426688 1515856 2050864 2179043 2853376 3031712 4101728 4358086 5706752 6063424 8203456 8716172 12126848 16406912 17432344 24253696 32813824 34864688 48507392 65627648 69729376 97014784 131255296 139458752 278917504 557835008 1115670016 2231340032