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242774620 = 2251117139467
BaseRepresentation
bin11100111100001…
…11001001011100
3121220211020011121
432132013021130
5444122241440
640031300324
76005356504
oct1636071134
9556736147
10242774620
11115049190
126937a6a4
133b3b2a2a
1424358a04
15164a834a
hexe78725c

242774620 has 96 divisors (see below), whose sum is σ = 594397440. Its totient is φ = 82314240.

The previous prime is 242774617. The next prime is 242774621. The reversal of 242774620 is 26477242.

It is a super-2 number, since 2×2427746202 = 117879032232288800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242774621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519627 + ... + 520093.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2242774620 is an apocalyptic number.

242774620 is a gapful number since it is divisible by the number (20) 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 242774620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720).

242774620 is an abundant number, since it is smaller than the sum of its proper divisors (351622820).

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

242774620 is a wasteful number, since it uses less digits than its factorization.

242774620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 34.

The square root of 242774620 is about 15581.2265242503. The cubic root of 242774620 is about 623.8321616047.

The spelling of 242774620 in words is "two hundred forty-two million, seven hundred seventy-four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 139 170 187 220 278 340 374 467 556 695 748 934 935 1390 1529 1868 1870 2335 2363 2780 3058 3740 4670 4726 5137 6116 7645 7939 9340 9452 10274 11815 15290 15878 20548 23630 25685 25993 30580 31756 39695 47260 51370 51986 64913 79390 87329 102740 103972 129826 129965 158780 174658 259652 259930 324565 349316 436645 519860 649130 714043 873290 1103521 1298260 1428086 1746580 2207042 2856172 3570215 4414084 5517605 7140430 11035210 12138731 14280860 22070420 24277462 48554924 60693655 121387310 242774620