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2240008224 = 25331773607
BaseRepresentation
bin1000010110000011…
…1101000000100000
312210002222012121120
42011200331000200
514041420230344
61010135052240
7106336520136
oct20540750040
95702865546
102240008224
11a4a476373
12526211080
132990cbb6c
141736d3756
15d19c1219
hex8583d020

2240008224 has 48 divisors (see below), whose sum is σ = 5898650688. Its totient is φ = 744303872.

The previous prime is 2240008201. The next prime is 2240008237. The reversal of 2240008224 is 4228000422.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 2240008194 and 2240008203.

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, 6372 + ... + 67235.

It is an arithmetic number, because the mean of its divisors is an integer number (122888556).

Almost surely, 22240008224 is an apocalyptic number.

2240008224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2240008224 is an abundant number, since it is smaller than the sum of its proper divisors (3658642464).

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

2240008224 is a wasteful number, since it uses less digits than its factorization.

2240008224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73937 (or 73929 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2240008224 is about 47328.7251465746. The cubic root of 2240008224 is about 1308.4281253383.

Adding to 2240008224 its reverse (4228000422), we get a palindrome (6468008646).

The spelling of 2240008224 in words is "two billion, two hundred forty million, eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 317 634 951 1268 1902 2536 3804 5072 7608 10144 15216 30432 73607 147214 220821 294428 441642 588856 883284 1177712 1766568 2355424 3533136 7066272 23333419 46666838 70000257 93333676 140000514 186667352 280001028 373334704 560002056 746669408 1120004112 2240008224