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222021302331231 = 33132928577634477
BaseRepresentation
bin110010011110110101011100…
…110110111010011101011111
31002010010000210022000222001000
4302132311130312322131133
5213100044111344044411
62104111102255321343
764523336562561444
oct6236653466723537
91063100708028030
10222021302331231
116481978409a997
1220a99270b20253
1396b66992549b0
143cb7c619839cb
151aa043c16e956
hexc9ed5cdba75f

222021302331231 has 64 divisors (see below), whose sum is σ = 366564880483200. Its totient is φ = 131870975781888.

The previous prime is 222021302331163. The next prime is 222021302331253. The reversal of 222021302331231 is 132133203120222.

222021302331231 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 2 + 1 + 302 + 331 + 23 + 1 = 666.

It is not a de Polignac number, because 222021302331231 - 222 = 222021298136927 is a prime.

It is a super-2 number, since 2×2220213023312312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 222021302331195 and 222021302331204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222021302331281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25264165 + ... + 32898641.

It is an arithmetic number, because the mean of its divisors is an integer number (5727576257550).

Almost surely, 2222021302331231 is an apocalyptic number.

222021302331231 is a deficient number, since it is larger than the sum of its proper divisors (144543578151969).

222021302331231 is a wasteful number, since it uses less digits than its factorization.

222021302331231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7637385 (or 7637379 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 222021302331231 its reverse (132133203120222), we get a palindrome (354154505451453).

The spelling of 222021302331231 in words is "two hundred twenty-two trillion, twenty-one billion, three hundred two million, three hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 3 9 13 27 29 39 87 117 261 351 377 783 1131 2857 3393 8571 10179 25713 37141 77139 82853 111423 248559 334269 745677 1002807 1077089 2237031 3231267 7634477 9693801 22903431 29081403 68710293 99248201 206130879 221399833 297744603 664199499 893233809 1992598497 2679701427 2878197829 5977795491 8634593487 21811700789 25903780461 65435102367 77711341383 196305307101 283552110257 588915921303 632539322881 850656330771 1897617968643 2551968992313 5692853905929 7655906976939 8223011197453 17078561717787 24669033592359 74007100777077 222021302331231