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1034022224 = 24236173631
BaseRepresentation
bin111101101000011…
…110110101010000
32200001200202211102
4331220132311100
54104202202344
6250334403532
734424021024
oct7550366520
92601622742
101034022224
11490751224
1224a3605a8
131362bcb91
149b486384
1560ba1e4e
hex3da1ed50

1034022224 has 80 divisors (see below), whose sum is σ = 2157314304. Its totient is φ = 479001600.

The previous prime is 1034022193. The next prime is 1034022257. The reversal of 1034022224 is 4222204301.

It is a junction number, because it is equal to n+sod(n) for n = 1034022196 and 1034022205.

It is a congruent number.

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, 1638389 + ... + 1639019.

Almost surely, 21034022224 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 1034022224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078657152).

1034022224 is an abundant number, since it is smaller than the sum of its proper divisors (1123292080).

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

1034022224 is a wasteful number, since it uses less digits than its factorization.

1034022224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1034022224 is about 32156.2159465320. The cubic root of 1034022224 is about 1011.2145060559.

Adding to 1034022224 its reverse (4222204301), we get a palindrome (5256226525).

The spelling of 1034022224 in words is "one billion, thirty-four million, twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 61 73 92 122 146 184 244 292 368 488 584 631 976 1168 1262 1403 1679 2524 2806 3358 4453 5048 5612 6716 8906 10096 11224 13432 14513 17812 22448 26864 29026 35624 38491 46063 58052 71248 76982 92126 102419 116104 153964 184252 204838 232208 307928 368504 409676 615856 737008 819352 885293 1059449 1638704 1770586 2118898 2809843 3541172 4237796 5619686 7082344 8475592 11239372 14164688 16951184 22478744 44957488 64626389 129252778 258505556 517011112 1034022224