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1030136224 = 25131947259
BaseRepresentation
bin111101011001101…
…010000110100000
32122210101100020111
4331121222012200
54102203324344
6250115221104
734346004415
oct7531520640
92583340214
101030136224
11489537657
12248ba7794
1313555c180
149ab5410c
1560685834
hex3d66a1a0

1030136224 has 144 divisors (see below), whose sum is σ = 2388808800. Its totient is φ = 433368576.

The previous prime is 1030136207. The next prime is 1030136227. The reversal of 1030136224 is 4226310301.

It is a super-2 number, since 2×10301362242 = 2122361279993956352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1030136195 and 1030136204.

It is not an unprimeable number, because it can be changed into a prime (1030136227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17459907 + ... + 17459965.

It is an arithmetic number, because the mean of its divisors is an integer number (16588950).

Almost surely, 21030136224 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 1030136224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194404400).

1030136224 is an abundant number, since it is smaller than the sum of its proper divisors (1358672576).

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

1030136224 is a wasteful number, since it uses less digits than its factorization.

1030136224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1030136224 is about 32095.7352930261. The cubic root of 1030136224 is about 1009.9461540421.

Adding to 1030136224 its reverse (4226310301), we get a palindrome (5256446525).

The spelling of 1030136224 in words is "one billion, thirty million, one hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 47 52 59 76 94 104 118 152 188 208 236 247 304 376 416 472 494 608 611 752 767 893 944 988 1121 1222 1504 1534 1786 1888 1976 2209 2242 2444 2773 3068 3572 3952 4418 4484 4888 5546 6136 7144 7904 8836 8968 9776 11092 11609 12272 14288 14573 17672 17936 19552 22184 23218 24544 28576 28717 29146 35344 35872 36049 41971 44368 46436 52687 57434 58292 70688 72098 83942 88736 92872 105374 114868 116584 130331 144196 167884 185744 210748 229736 233168 260662 288392 335768 371488 421496 459472 466336 521324 545623 576784 671536 684931 842992 918944 1042648 1091246 1153568 1343072 1369862 1685984 1694303 2085296 2182492 2476289 2739724 3388606 4170592 4364984 4952578 5479448 6777212 8729968 9905156 10958896 13554424 17459936 19810312 21917792 27108848 32191757 39620624 54217696 64383514 79241248 128767028 257534056 515068112 1030136224