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22011014322 = 232111943136067
BaseRepresentation
bin10100011111111101…
…010110110010110010
32002210222121101021200
4110133331112302302
5330034304424242
614040044232030
71406311351263
oct243775266262
962728541250
1022011014322
119375709930
12432353b616
1320ca20a43b
1410cb40a96a
1588c5a704c
hex51ff56cb2

22011014322 has 96 divisors (see below), whose sum is σ = 56038245120. Its totient is φ = 6171953760.

The previous prime is 22011014293. The next prime is 22011014359. The reversal of 22011014322 is 22341011022.

It is a happy number.

22011014322 is a `hidden beast` number, since 220 + 1 + 10 + 1 + 432 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22011014295 and 22011014304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93733 + ... + 229799.

It is an arithmetic number, because the mean of its divisors is an integer number (583731720).

Almost surely, 222011014322 is an apocalyptic number.

22011014322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22011014322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28019122560).

22011014322 is an abundant number, since it is smaller than the sum of its proper divisors (34027230798).

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

22011014322 is a wasteful number, since it uses less digits than its factorization.

22011014322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136148 (or 136145 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22011014322 its reverse (22341011022), we get a palindrome (44352025344).

It can be divided in two parts, 220110 and 14322, that added together give a palindrome (234432).

The spelling of 22011014322 in words is "twenty-two billion, eleven million, fourteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 43 57 66 86 99 114 129 171 198 209 258 342 387 418 473 627 774 817 946 1254 1419 1634 1881 2451 2838 3762 4257 4902 7353 8514 8987 14706 17974 26961 53922 80883 136067 161766 272134 408201 816402 1224603 1496737 2449206 2585273 2993474 4490211 5170546 5850881 7755819 8980422 11701762 13470633 15511638 17552643 23267457 26941266 28438003 35105286 46534914 52657929 56876006 64359691 85314009 105315858 111166739 128719382 170628018 193079073 222333478 255942027 333500217 386158146 511884054 579237219 667000434 1000500651 1158474438 1222834129 2001001302 2445668258 3668502387 7337004774 11005507161 22011014322