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1045012224 = 2835712383
BaseRepresentation
bin111110010010011…
…001111100000000
32200211101010021110
4332102121330000
54120010342344
6251410123320
734616312604
oct7622317400
92624333243
101045012224
11496978173
12251b80540
1313866a239
149cb07504
1561b233b9
hex3e499f00

1045012224 has 72 divisors (see below), whose sum is σ = 2787296512. Its totient is φ = 347581440.

The previous prime is 1045012211. The next prime is 1045012229. The reversal of 1045012224 is 4222105401.

It is a self number, because there is not a number n which added to its sum of digits gives 1045012224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045012229) 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, 437337 + ... + 439719.

Almost surely, 21045012224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393648256).

1045012224 is an abundant number, since it is smaller than the sum of its proper divisors (1742284288).

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

1045012224 is an equidigital number, since it uses as much as digits as its factorization.

1045012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 1045012224 is about 32326.6488210578. The cubic root of 1045012224 is about 1014.7844184498.

Adding to 1045012224 its reverse (4222105401), we get a palindrome (5267117625).

The spelling of 1045012224 in words is "one billion, forty-five million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 571 768 1142 1713 2284 2383 3426 4568 4766 6852 7149 9136 9532 13704 14298 18272 19064 27408 28596 36544 38128 54816 57192 73088 76256 109632 114384 146176 152512 219264 228768 305024 438528 457536 610048 915072 1360693 1830144 2721386 4082079 5442772 8164158 10885544 16328316 21771088 32656632 43542176 65313264 87084352 130626528 174168704 261253056 348337408 522506112 1045012224