Search a number
-
+
22022604352 = 2673111314033
BaseRepresentation
bin10100100000101001…
…100100011001000000
32002211210102012211001
4110200221210121000
5330100241314402
614041140501344
71406512022410
oct244051443100
962753365731
1022022604352
119381205671
1243273aa854
1320cc737948
1410ccb86640
1588d5e6187
hex520a64640

22022604352 has 112 divisors (see below), whose sum is σ = 52015168512. Its totient is φ = 9052323840.

The previous prime is 22022604323. The next prime is 22022604371. The reversal of 22022604352 is 25340622022.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 22022604352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1562328 + ... + 1576360.

Almost surely, 222022604352 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 22022604352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26007584256).

22022604352 is an abundant number, since it is smaller than the sum of its proper divisors (29992564160).

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

22022604352 is a wasteful number, since it uses less digits than its factorization.

22022604352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14196 (or 14186 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The spelling of 22022604352 in words is "twenty-two billion, twenty-two million, six hundred four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 113 124 217 224 226 248 434 448 452 496 791 868 904 992 1582 1736 1808 1984 3164 3472 3503 3616 6328 6944 7006 7232 12656 13888 14012 14033 24521 25312 28024 28066 49042 50624 56048 56132 98084 98231 112096 112264 196168 196462 224192 224528 392336 392924 435023 449056 784672 785848 870046 898112 1569344 1571696 1585729 1740092 3045161 3143392 3171458 3480184 6090322 6286784 6342916 6960368 11100103 12180644 12685832 13920736 22200206 24361288 25371664 27841472 44400412 48722576 49157599 50743328 88800824 97445152 98315198 101486656 177601648 194890304 196630396 344103193 355203296 393260792 688206386 710406592 786521584 1376412772 1573043168 2752825544 3146086336 5505651088 11011302176 22022604352