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221021231232 = 27317149227231
BaseRepresentation
bin1100110111010111100…
…1000101100010000000
3210010111100102212122010
43031311321011202000
512110122413344412
6245311420012520
721653053316304
oct3156571054200
9703440385563
10221021231232
11858097a537a
1236a03691140
1317ac4458939
14a9a9c7dd04
155b38bb733c
hex3375e45880

221021231232 has 128 divisors (see below), whose sum is σ = 625796928000. Its totient is φ = 68874321920.

The previous prime is 221021231203. The next prime is 221021231261. The reversal of 221021231232 is 232132120122.

It is an interprime number because it is at equal distance from previous prime (221021231203) and next prime (221021231261).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 221021231199 and 221021231208.

It is an unprimeable number.

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, 859057 + ... + 1086287.

It is an arithmetic number, because the mean of its divisors is an integer number (4889038500).

Almost surely, 2221021231232 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 221021231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312898464000).

221021231232 is an abundant number, since it is smaller than the sum of its proper divisors (404775696768).

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

221021231232 is a wasteful number, since it uses less digits than its factorization.

221021231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227414 (or 227402 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 221021231232 its reverse (232132120122), we get a palindrome (453153351354).

The spelling of 221021231232 in words is "two hundred twenty-one billion, twenty-one million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 149 192 204 272 298 384 408 447 544 596 816 894 1088 1192 1632 1788 2176 2384 2533 3264 3576 4768 5066 6528 7152 7599 9536 10132 14304 15198 19072 20264 28608 30396 40528 57216 60792 81056 121584 162112 227231 243168 324224 454462 486336 681693 908924 972672 1363386 1817848 2726772 3635696 3862927 5453544 7271392 7725854 10907088 11588781 14542784 15451708 21814176 23177562 29085568 30903416 33857419 43628352 46355124 61806832 67714838 87256704 92710248 101572257 123613664 135429676 185420496 203144514 247227328 270859352 370840992 406289028 494454656 541718704 575576123 741681984 812578056 1083437408 1151152246 1483363968 1625156112 1726728369 2166874816 2302304492 3250312224 3453456738 4333749632 4604608984 6500624448 6906913476 9209217968 13001248896 13813826952 18418435936 27627653904 36836871872 55255307808 73673743744 110510615616 221021231232