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2024202012 = 2237196132069
BaseRepresentation
bin111100010100110…
…1101111100011100
312020001220010010220
41320221231330130
513121143431022
6532505401340
7101106301410
oct17051557434
95201803126
102024202012
11949677a28
12485a99250
1326349c291
14152b98d40
15bca9385c
hex78a6df1c

2024202012 has 96 divisors (see below), whose sum is σ = 5693990400. Its totient is φ = 546746112.

The previous prime is 2024201953. The next prime is 2024202067. The reversal of 2024202012 is 2102024202.

It is a junction number, because it is equal to n+sod(n) for n = 2024201982 and 2024202000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 977314 + ... + 979382.

It is an arithmetic number, because the mean of its divisors is an integer number (59312400).

Almost surely, 22024202012 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 2024202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846995200).

2024202012 is an abundant number, since it is smaller than the sum of its proper divisors (3669788388).

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

2024202012 is a wasteful number, since it uses less digits than its factorization.

2024202012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2024202012 is about 44991.1325929899. The cubic root of 2024202012 is about 1264.9827911442.

Adding to 2024202012 its reverse (2102024202), we get a palindrome (4126226214).

The spelling of 2024202012 in words is "two billion, twenty-four million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 613 798 1226 1596 1839 2069 2452 3678 4138 4291 6207 7356 8276 8582 11647 12414 12873 14483 17164 23294 24828 25746 28966 34941 39311 43449 46588 51492 57932 69882 78622 81529 86898 117933 139764 157244 163058 173796 235866 244587 275177 326116 471732 489174 550354 825531 978348 1100708 1268297 1651062 2536594 3302124 3804891 5073188 7609782 8878079 15219564 17756158 24097643 26634237 35512316 48195286 53268474 72292929 96390572 106536948 144585858 168683501 289171716 337367002 506050503 674734004 1012101006 2024202012