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2224646040 = 2335157118081
BaseRepresentation
bin1000010010011001…
…0110011110011000
312202001001201122210
42010212112132120
514024002133130
61004425515120
7106062115341
oct20446263630
95661051583
102224646040
11a41833551
12521042aa0
13295b80706
141716550c8
15d04895b0
hex84996798

2224646040 has 64 divisors (see below), whose sum is σ = 6716504160. Its totient is φ = 589455360.

The previous prime is 2224645991. The next prime is 2224646041. The reversal of 2224646040 is 406464222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2224645989 and 2224646007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224646041) 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, 40201 + ... + 77880.

Almost surely, 22224646040 is an apocalyptic number.

2224646040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224646040 is an abundant number, since it is smaller than the sum of its proper divisors (4491858120).

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

2224646040 is a wasteful number, since it uses less digits than its factorization.

2224646040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118252 (or 118248 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 2224646040 is about 47166.1535425563. The cubic root of 2224646040 is about 1305.4301542877.

It can be divided in two parts, 22246 and 46040, that added together give a palindrome (68286).

The spelling of 2224646040 in words is "two billion, two hundred twenty-four million, six hundred forty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1256 1570 1884 2355 3140 3768 4710 6280 9420 18840 118081 236162 354243 472324 590405 708486 944648 1180810 1416972 1771215 2361620 2833944 3542430 4723240 7084860 14169720 18538717 37077434 55616151 74154868 92693585 111232302 148309736 185387170 222464604 278080755 370774340 444929208 556161510 741548680 1112323020 2224646040