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24140224100 = 22524195711009
BaseRepresentation
bin10110011110110111…
…101001011001100100
32022022101002110000002
4112132313221121210
5343414344132400
615031224440432
71513134343046
oct263667513144
968271073002
1024140224100
11a268588733
124818619118
132379384695
1412500dba96
1596448ded5
hex59ede9664

24140224100 has 72 divisors (see below), whose sum is σ = 52653400800. Its totient is φ = 9606643200.

The previous prime is 24140224079. The next prime is 24140224127. The reversal of 24140224100 is 142204142.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23924396 + ... + 23925404.

Almost surely, 224140224100 is an apocalyptic number.

24140224100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24140224100 is an abundant number, since it is smaller than the sum of its proper divisors (28513176700).

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

24140224100 is a wasteful number, since it uses less digits than its factorization.

24140224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 24140224100 its reverse (142204142), we get a palindrome (24282428242).

The spelling of 24140224100 in words is "twenty-four billion, one hundred forty million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 419 571 838 1009 1142 1676 2018 2095 2284 2855 4036 4190 5045 5710 8380 10090 10475 11420 14275 20180 20950 25225 28550 41900 50450 57100 100900 239249 422771 478498 576139 845542 956996 1152278 1196245 1691084 2113855 2304556 2392490 2880695 4227710 4784980 5761390 5981225 8455420 10569275 11522780 11962450 14403475 21138550 23924900 28806950 42277100 57613900 241402241 482804482 965608964 1207011205 2414022410 4828044820 6035056025 12070112050 24140224100