Search a number
-
+
1023142224 = 243132126127
BaseRepresentation
bin111100111110111…
…110100101010000
32122022020000021110
4330332332211100
54043411022344
6245305253320
734232364636
oct7476764520
92568200243
101023142224
1148559a995
12246794240
13133c80900
1499c53356
155ec533b9
hex3cfbe950

1023142224 has 60 divisors (see below), whose sum is σ = 2862096576. Its totient is φ = 314810496.

The previous prime is 1023142223. The next prime is 1023142247. The reversal of 1023142224 is 4222413201.

It is a self number, because there is not a number n which added to its sum of digits gives 1023142224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023142223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54952 + ... + 71175.

Almost surely, 21023142224 is an apocalyptic number.

It is an amenable number.

1023142224 is an abundant number, since it is smaller than the sum of its proper divisors (1838954352).

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

1023142224 is a wasteful number, since it uses less digits than its factorization.

1023142224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126164 (or 126145 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1023142224 is about 31986.5944420471. The cubic root of 1023142224 is about 1007.6553211803.

Adding to 1023142224 its reverse (4222413201), we get a palindrome (5245555425).

The spelling of 1023142224 in words is "one billion, twenty-three million, one hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2704 4056 8112 126127 252254 378381 504508 756762 1009016 1513524 1639651 2018032 3027048 3279302 4918953 6054096 6558604 9837906 13117208 19675812 21315463 26234416 39351624 42630926 63946389 78703248 85261852 127892778 170523704 255785556 341047408 511571112 1023142224