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23223331040 = 2557132122693
BaseRepresentation
bin10101101000001101…
…111110100011100000
32012221110210110011212
4111220031332203200
5340030133043130
614400232325252
71451332025330
oct255015764340
965843713155
1023223331040
119937a68378
124601543828
132261424b00
1411a44250c0
1590dc26e95
hex56837e8e0

23223331040 has 144 divisors (see below), whose sum is σ = 67897878048. Its totient is φ = 7349741568.

The previous prime is 23223331003. The next prime is 23223331067. The reversal of 23223331040 is 4013332232.

It is a junction number, because it is equal to n+sod(n) for n = 23223330997 and 23223331015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127934 + ... + 250626.

It is an arithmetic number, because the mean of its divisors is an integer number (471513042).

Almost surely, 223223331040 is an apocalyptic number.

23223331040 is a gapful number since it is divisible by the number (20) 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 23223331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33948939024).

23223331040 is an abundant number, since it is smaller than the sum of its proper divisors (44674547008).

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

23223331040 is a wasteful number, since it uses less digits than its factorization.

23223331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122741 (or 122720 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 23223331040 its reverse (4013332232), we get a palindrome (27236663272).

The spelling of 23223331040 in words is "twenty-three billion, two hundred twenty-three million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 169 182 208 224 260 280 338 364 416 455 520 560 676 728 845 910 1040 1120 1183 1352 1456 1690 1820 2080 2366 2704 2912 3380 3640 4732 5408 5915 6760 7280 9464 11830 13520 14560 18928 23660 27040 37856 47320 94640 122693 189280 245386 490772 613465 858851 981544 1226930 1595009 1717702 1963088 2453860 3190018 3435404 3926176 4294255 4907720 6380036 6870808 7975045 8588510 9815440 11165063 12760072 13741616 15950090 17177020 19630880 20735117 22330126 25520144 27483232 31900180 34354040 41470234 44660252 51040288 55825315 63800360 68708080 82940468 89320504 103675585 111650630 127600720 137416160 145145819 165880936 178641008 207351170 223301260 255201440 290291638 331761872 357282016 414702340 446602520 580583276 663523744 725729095 829404680 893205040 1161166552 1451458190 1658809360 1786410080 2322333104 2902916380 3317618720 4644666208 5805832760 11611665520 23223331040