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224424120040 = 23529619312551
BaseRepresentation
bin1101000100000010111…
…0000100111011101000
3210110021111120112111221
43101000232010323220
512134110033320130
6251033215431424
722133303355031
oct3210056047350
9713244515457
10224424120040
11871a562407a
12375b3225574
1318217453603
14ac0db9da88
155c877e087a
hex3440b84ee8

224424120040 has 64 divisors (see below), whose sum is σ = 523212048000. Its totient is φ = 86533843200.

The previous prime is 224424120023. The next prime is 224424120043. The reversal of 224424120040 is 40021424422.

It is a junction number, because it is equal to n+sod(n) for n = 224424119987 and 224424120014.

It is not an unprimeable number, because it can be changed into a prime (224424120043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561765 + ... + 874315.

It is an arithmetic number, because the mean of its divisors is an integer number (8175188250).

Almost surely, 2224424120040 is an apocalyptic number.

224424120040 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 224424120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261606024000).

224424120040 is an abundant number, since it is smaller than the sum of its proper divisors (298787927960).

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

224424120040 is a wasteful number, since it uses less digits than its factorization.

224424120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313210 (or 313206 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 224424120040 its reverse (40021424422), we get a palindrome (264445544462).

The spelling of 224424120040 in words is "two hundred twenty-four billion, four hundred twenty-four million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 619 1160 1238 2476 3095 4952 6190 12380 17951 24760 35902 71804 89755 143608 179510 312551 359020 625102 718040 1250204 1562755 2500408 3125510 6251020 9063979 12502040 18127958 36255916 45319895 72511832 90639790 181279580 193469069 362559160 386938138 773876276 967345345 1547752552 1934690690 3869381380 5610603001 7738762760 11221206002 22442412004 28053015005 44884824008 56106030010 112212060020 224424120040