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22023024144 = 2431131013413
BaseRepresentation
bin10100100000101011…
…001010111000010000
32002211211012112122220
4110200223022320100
5330100343233034
614041153501040
71406515421322
oct244053127020
962754175586
1022023024144
119381472000
124327571780
1320cc853a44
1410ccc55612
1588d67a749
hex520acae10

22023024144 has 160 divisors (see below), whose sum is σ = 63215918208. Its totient is φ = 6605632000.

The previous prime is 22023024109. The next prime is 22023024173. The reversal of 22023024144 is 44142032022.

It is a super-4 number, since 4×220230241444 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6450982 + ... + 6454394.

Almost surely, 222023024144 is an apocalyptic number.

22023024144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22023024144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31607959104).

22023024144 is an abundant number, since it is smaller than the sum of its proper divisors (41192894064).

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

22023024144 is a wasteful number, since it uses less digits than its factorization.

22023024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22023024144 its reverse (44142032022), we get a palindrome (66165056166).

The spelling of 22023024144 in words is "twenty-two billion, twenty-three million, twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 121 132 176 202 242 264 303 363 404 484 528 606 726 808 968 1111 1212 1331 1452 1616 1936 2222 2424 2662 2904 3333 3413 3993 4444 4848 5324 5808 6666 6826 7986 8888 10239 10648 12221 13332 13652 15972 17776 20478 21296 24442 26664 27304 31944 36663 37543 40956 48884 53328 54608 63888 73326 75086 81912 97768 112629 134431 146652 150172 163824 195536 225258 268862 293304 300344 344713 403293 412973 450516 537724 586608 600688 689426 806586 825946 901032 1034139 1075448 1238919 1378852 1613172 1651892 1802064 2068278 2150896 2477838 2757704 3226344 3303784 3791843 4136556 4542703 4955676 5515408 6452688 6607568 7583686 8273112 9085406 9911352 11375529 13628109 15167372 16546224 18170812 19822704 22751058 27256218 30334744 36341624 41710273 45502116 54512436 60669488 72683248 83420546 91004232 109024872 125130819 166841092 182008464 218049744 250261638 333682184 458813003 500523276 667364368 917626006 1001046552 1376439009 1835252012 2002093104 2752878018 3670504024 5505756036 7341008048 11011512072 22023024144