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22324411242 = 2337379971601
BaseRepresentation
bin10100110010101000…
…110111101101101010
32010121211022121001000
4110302220313231222
5331210022124432
614131121335430
71420135236030
oct246250675552
963554277030
1022324411242
119516603651
1243b0497576
13214a118cc3
14111acaa550
158a9d6057c
hex532a37b6a

22324411242 has 128 divisors (see below), whose sum is σ = 58324078080. Its totient is φ = 6195916800.

The previous prime is 22324411177. The next prime is 22324411283. The reversal of 22324411242 is 24211442322.

It is a happy number.

22324411242 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 4 + 411 + 242 = 666.

It is a super-3 number, since 3×223244112423 (a number of 32 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13943242 + ... + 13944842.

It is an arithmetic number, because the mean of its divisors is an integer number (455656860).

Almost surely, 222324411242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22324411242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29162039040).

22324411242 is an abundant number, since it is smaller than the sum of its proper divisors (35999666838).

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

22324411242 is a wasteful number, since it uses less digits than its factorization.

22324411242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2647 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 22324411242 its reverse (24211442322), we get a palindrome (46535853564).

The spelling of 22324411242 in words is "twenty-two billion, three hundred twenty-four million, four hundred eleven thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 333 378 518 666 777 997 999 1554 1601 1994 1998 2331 2991 3202 4662 4803 5982 6979 6993 8973 9606 11207 13958 13986 14409 17946 20937 22414 26919 28818 33621 36889 41874 43227 53838 59237 62811 67242 73778 86454 100863 110667 118474 125622 177711 188433 201726 221334 258223 302589 332001 355422 376866 414659 516446 533133 605178 664002 774669 829318 996003 1066266 1243977 1549338 1596197 1599399 1992006 2324007 2487954 3192394 3198798 3731931 4648014 4788591 6972021 7463862 9577182 11173379 11195793 13944042 14365773 22346758 22391586 28731546 33520137 43097319 59059289 67040274 86194638 100560411 118118578 177177867 201120822 301681233 354355734 413415023 531533601 603362466 826830046 1063067202 1240245069 1594600803 2480490138 3189201606 3720735207 7441470414 11162205621 22324411242