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2293104024 = 2332172193571
BaseRepresentation
bin1000100010101101…
…1111110110011000
312220210212202100200
42020223133312120
514144013312044
61015313102200
7110553030321
oct21053376630
95823782320
102293104024
11a77440aa2
1253bb57960
132a70cc3b3
1417a795448
15d64ad369
hex88adfd98

2293104024 has 144 divisors (see below), whose sum is σ = 6643099320. Its totient is φ = 714424320.

The previous prime is 2293103993. The next prime is 2293104059. The reversal of 2293104024 is 4204013922.

2293104024 is a `hidden beast` number, since 229 + 31 + 0 + 402 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4015659 + ... + 4016229.

Almost surely, 22293104024 is an apocalyptic number.

2293104024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2293104024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321549660).

2293104024 is an abundant number, since it is smaller than the sum of its proper divisors (4349995296).

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

2293104024 is a wasteful number, since it uses less digits than its factorization.

2293104024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2293104024 is about 47886.3657422444. The cubic root of 2293104024 is about 1318.6855648189.

Adding to 2293104024 its reverse (4204013922), we get a palindrome (6497117946).

The spelling of 2293104024 in words is "two billion, two hundred ninety-three million, one hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 193 204 289 306 386 408 571 578 579 612 772 867 1142 1156 1158 1224 1544 1713 1734 1737 2284 2312 2316 2601 3281 3426 3468 3474 4568 4632 5139 5202 6562 6852 6936 6948 9707 9843 10278 10404 13124 13704 13896 19414 19686 20556 20808 26248 29121 29529 38828 39372 41112 55777 58242 59058 77656 78744 87363 110203 111554 116484 118116 165019 167331 174726 220406 223108 232968 236232 330038 330609 334662 349452 440812 446216 495057 501993 660076 661218 669324 698904 881624 990114 991827 1003986 1320152 1322436 1338648 1485171 1873451 1980228 1983654 2007972 2644872 2970342 3746902 3960456 3967308 4015944 5620353 5940684 7493804 7934616 11240706 11881368 14987608 16861059 22481412 31848667 33722118 44962824 63697334 67444236 95546001 127394668 134888472 191092002 254789336 286638003 382184004 573276006 764368008 1146552012 2293104024