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22034230232 = 2372193722161
BaseRepresentation
bin10100100001010101…
…111010101111011000
32002212121021212112012
4110201111322233120
5330111230331412
614042234005052
71410012603200
oct244125725730
962777255465
1022034230232
119387826333
12432b276788
132101c78571
1410d0531400
1588e640c22
hex52157abd8

22034230232 has 144 divisors (see below), whose sum is σ = 52017071400. Its totient is φ = 8700410880.

The previous prime is 22034230217. The next prime is 22034230249. The reversal of 22034230232 is 23203243022.

It is a super-3 number, since 3×220342302323 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22034230198 and 22034230207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10195232 + ... + 10197392.

Almost surely, 222034230232 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 22034230232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26008535700).

22034230232 is an abundant number, since it is smaller than the sum of its proper divisors (29982841168).

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

22034230232 is a wasteful number, since it uses less digits than its factorization.

22034230232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 22034230232 its reverse (23203243022), we get a palindrome (45237473254).

The spelling of 22034230232 in words is "twenty-two billion, thirty-four million, two hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 37 38 49 56 74 76 98 133 148 152 196 259 266 296 392 518 532 703 931 1036 1064 1369 1406 1813 1862 2072 2161 2738 2812 3626 3724 4322 4921 5476 5624 7252 7448 8644 9583 9842 10952 14504 15127 17288 19166 19684 26011 30254 34447 38332 39368 41059 52022 60508 67081 68894 76664 79957 82118 104044 105889 121016 134162 137788 159914 164236 182077 208088 211778 268324 275576 287413 319828 328472 364154 423556 536648 559699 574826 639656 728308 847112 1119398 1149652 1274539 1456616 1519183 2011891 2238796 2299304 2549078 2958409 3038366 3917893 4023782 4477592 5098156 5916818 6076732 7835786 8047564 10196312 10634281 11833636 12153464 15671572 16095128 20708863 21268562 23667272 31343144 41417726 42537124 56209771 74439967 82835452 85074248 112419542 144962041 148879934 165670904 224839084 289924082 297759868 393468397 449678168 579848164 595519736 786936794 1159696328 1573873588 2754278779 3147747176 5508557558 11017115116 22034230232