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2023224131440 = 24529872079367
BaseRepresentation
bin11101011100010001100…
…011100011111101110000
321011102021222010222002101
4131130101203203331300
5231122030334201230
64145242322430144
7266113244236051
oct35342143437560
97142258128071
102023224131440
11710054305546
12288145802354
13118a34ba9595
146dcd3042728
1537966d11aca
hex1d7118e3f70

2023224131440 has 40 divisors (see below), whose sum is σ = 4866202873440. Its totient is φ = 781383111936.

The previous prime is 2023224131387. The next prime is 2023224131479. The reversal of 2023224131440 is 441314223202.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×20232241314402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2023224131399 and 2023224131408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 436037364 + ... + 436042003.

It is an arithmetic number, because the mean of its divisors is an integer number (121655071836).

Almost surely, 22023224131440 is an apocalyptic number.

2023224131440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023224131440 is an abundant number, since it is smaller than the sum of its proper divisors (2842978742000).

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

2023224131440 is a wasteful number, since it uses less digits than its factorization.

2023224131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872079409 (or 872079403 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2023224131440 its reverse (441314223202), we get a palindrome (2464538354642).

The spelling of 2023224131440 in words is "two trillion, twenty-three billion, two hundred twenty-four million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 872079367 1744158734 3488317468 4360396835 6976634936 8720793670 13953269872 17441587340 25290301643 34883174680 50580603286 69766349360 101161206572 126451508215 202322413144 252903016430 404644826288 505806032860 1011612065720 2023224131440