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1053224224 = 2513371211
BaseRepresentation
bin111110110001101…
…110110100100000
32201101211100000121
4332301232310200
54124111133344
6252302130024
735046154363
oct7661566440
92641740017
101053224224
114a0576a48
12254880914
1313a284000
149dc440da
15626e6684
hex3ec6ed20

1053224224 has 96 divisors (see below), whose sum is σ = 2288684160. Its totient is φ = 476985600.

The previous prime is 1053224213. The next prime is 1053224243. The reversal of 1053224224 is 4224223501.

It is a super-2 number, since 2×10532242242 = 2218562532040804352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4991479 + ... + 4991689.

It is an arithmetic number, because the mean of its divisors is an integer number (23840460).

Almost surely, 21053224224 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 1053224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144342080).

1053224224 is an abundant number, since it is smaller than the sum of its proper divisors (1235459936).

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

1053224224 is an equidigital number, since it uses as much as digits as its factorization.

1053224224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 1053224224 is about 32453.4162146299. The cubic root of 1053224224 is about 1017.4356396496.

Adding to 1053224224 its reverse (4224223501), we get a palindrome (5277447725).

The spelling of 1053224224 in words is "one billion, fifty-three million, two hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 71 104 142 169 208 211 284 338 416 422 568 676 844 923 1136 1352 1688 1846 2197 2272 2704 2743 3376 3692 4394 5408 5486 6752 7384 8788 10972 11999 14768 14981 17576 21944 23998 29536 29962 35152 35659 43888 47996 59924 70304 71318 87776 95992 119848 142636 155987 191984 194753 239696 285272 311974 383968 389506 463567 479392 570544 623948 779012 927134 1141088 1247896 1558024 1854268 2495792 2531789 3116048 3708536 4991584 5063578 6232096 7417072 10127156 14834144 20254312 32913257 40508624 65826514 81017248 131653028 263306056 526612112 1053224224