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24400222040 = 2356125139841
BaseRepresentation
bin10110101110010111…
…011101011101011000
32022222111022201010102
4112232113131131120
5344432424101130
615113113234532
71522442315405
oct265627353530
968874281112
1024400222040
11a39131aa67
12488b702a48
1323bb1b7a0c
14127685b2ac
1597c1ea645
hex5ae5dd758

24400222040 has 64 divisors (see below), whose sum is σ = 56024226720. Its totient is φ = 9561600000.

The previous prime is 24400222031. The next prime is 24400222051. The reversal of 24400222040 is 4022200442.

It is a Harshad number since it is a multiple of its sum of digits (20).

24400222040 is a modest number, since divided by 222040 gives 24400 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592520 + ... + 632360.

Almost surely, 224400222040 is an apocalyptic number.

24400222040 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 24400222040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28012113360).

24400222040 is an abundant number, since it is smaller than the sum of its proper divisors (31624004680).

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

24400222040 is a wasteful number, since it uses less digits than its factorization.

24400222040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40164 (or 40160 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 24400222040 its reverse (4022200442), we get a palindrome (28422422482).

The spelling of 24400222040 in words is "twenty-four billion, four hundred million, two hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 251 305 488 502 610 1004 1220 1255 2008 2440 2510 5020 10040 15311 30622 39841 61244 76555 79682 122488 153110 159364 199205 306220 318728 398410 612440 796820 1593640 2430301 4860602 9721204 10000091 12151505 19442408 20000182 24303010 40000364 48606020 50000455 80000728 97212040 100000910 200001820 400003640 610005551 1220011102 2440022204 3050027755 4880044408 6100055510 12200111020 24400222040