Search a number
-
+
2124034224 = 243133403901
BaseRepresentation
bin111111010011010…
…0011000010110000
312111000202010012020
41332212203002300
513322223043344
6550433231440
7103430664414
oct17646430260
95430663166
102124034224
1199aa64394
124b3402580
1327b0845b0
14162144d44
15c6713719
hex7e9a30b0

2124034224 has 40 divisors (see below), whose sum is σ = 5909173872. Its totient is φ = 653548800.

The previous prime is 2124034193. The next prime is 2124034229. The reversal of 2124034224 is 4224304212.

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 = 2124034194 and 2124034203.

It is not an unprimeable number, because it can be changed into a prime (2124034229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1701327 + ... + 1702574.

Almost surely, 22124034224 is an apocalyptic number.

2124034224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2124034224 is an abundant number, since it is smaller than the sum of its proper divisors (3785139648).

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

2124034224 is a wasteful number, since it uses less digits than its factorization.

2124034224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403925 (or 3403919 counting only the distinct ones).

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

The square root of 2124034224 is about 46087.2457844901. The cubic root of 2124034224 is about 1285.4459985960.

Adding to 2124034224 its reverse (4224304212), we get a palindrome (6348338436).

The spelling of 2124034224 in words is "two billion, one hundred twenty-four million, thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 3403901 6807802 10211703 13615604 20423406 27231208 40846812 44250713 54462416 81693624 88501426 132752139 163387248 177002852 265504278 354005704 531008556 708011408 1062017112 2124034224