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2413222224 = 243719378011
BaseRepresentation
bin1000111111010110…
…1101100101010000
320020011220101112220
42033311231211100
514420241102344
61035243421040
7113542023210
oct21765554520
96204811486
102413222224
111029223636
12574224780
132c5c6805a
1418c702240
15e1cd8c19
hex8fd6d950

2413222224 has 80 divisors (see below), whose sum is σ = 7499758080. Its totient is φ = 653201280.

The previous prime is 2413222213. The next prime is 2413222333. The reversal of 2413222224 is 4222223142.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2413222194 and 2413222203.

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 15 ways as a sum of consecutive naturals, for example, 182622 + ... + 195389.

It is an arithmetic number, because the mean of its divisors is an integer number (93746976).

Almost surely, 22413222224 is an apocalyptic number.

2413222224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2413222224 is an abundant number, since it is smaller than the sum of its proper divisors (5086535856).

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

2413222224 is a wasteful number, since it uses less digits than its factorization.

2413222224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378048 (or 378042 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 2413222224 is about 49124.5582575559. The cubic root of 2413222224 is about 1341.3201188072.

Adding to 2413222224 its reverse (4222223142), we get a palindrome (6635445366).

The spelling of 2413222224 in words is "two billion, four hundred thirteen million, two hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 378011 756022 1134033 1512044 2268066 2646077 3024088 4536132 5292154 6048176 7182209 7938231 9072264 10584308 14364418 15876462 18144528 21168616 21546627 28728836 31752924 42337232 43093254 50275463 57457672 63505848 86186508 100550926 114915344 127011696 150826389 172373016 201101852 301652778 344746032 402203704 603305556 804407408 1206611112 2413222224