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232221220032 = 26323107491461
BaseRepresentation
bin1101100001000101110…
…1101001110011000000
3211012101220012020221010
43120101131221303000
512301042113020112
6254403030400520
722530441542004
oct3302135516300
9735356166833
10232221220032
118a53690876a
123900a500140
1318b8a935449
14b34d52c704
1560920ac63c
hex3611769cc0

232221220032 has 112 divisors (see below), whose sum is σ = 647125708032. Its totient is φ = 73349422080.

The previous prime is 232221220013. The next prime is 232221220037. The reversal of 232221220032 is 230022122232.

232221220032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 232221219990 and 232221220008.

It is not an unprimeable number, because it can be changed into a prime (232221220037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226782 + ... + 718242.

Almost surely, 2232221220032 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 232221220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323562854016).

232221220032 is an abundant number, since it is smaller than the sum of its proper divisors (414904488000).

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

232221220032 is a wasteful number, since it uses less digits than its factorization.

232221220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491606 (or 491596 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 232221220032 its reverse (230022122232), we get a palindrome (462243342264).

The spelling of 232221220032 in words is "two hundred thirty-two billion, two hundred twenty-one million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 107 138 184 192 214 276 321 368 428 552 642 736 856 1104 1284 1472 1712 2208 2461 2568 3424 4416 4922 5136 6848 7383 9844 10272 14766 19688 20544 29532 39376 59064 78752 118128 157504 236256 472512 491461 982922 1474383 1965844 2948766 3931688 5897532 7863376 11303603 11795064 15726752 22607206 23590128 31453504 33910809 45214412 47180256 52586327 67821618 90428824 94360512 105172654 135643236 157758981 180857648 210345308 271286472 315517962 361715296 420690616 542572944 631035924 723430592 841381232 1085145888 1209485521 1262071848 1682762464 2170291776 2418971042 2524143696 3365524928 3628456563 4837942084 5048287392 7256913126 9675884168 10096574784 14513826252 19351768336 29027652504 38703536672 58055305008 77407073344 116110610016 232221220032