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241561012 = 227112374147
BaseRepresentation
bin11100110010111…
…10110110110100
3121211112120102011
432121132312310
5443314423022
635545254004
75662143340
oct1631366664
9554476364
10241561012
1111439a400
1268a94304
133b079514
1424120620
1516318977
hexe65edb4

241561012 has 144 divisors (see below), whose sum is σ = 570576384. Its totient is φ = 87436800.

The previous prime is 241560997. The next prime is 241561013. The reversal of 241561012 is 210165142.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241561013) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5139573 + ... + 5139619.

It is an arithmetic number, because the mean of its divisors is an integer number (3962336).

Almost surely, 2241561012 is an apocalyptic number.

241561012 is a gapful number since it is divisible by the number (22) 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 241561012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285288192).

241561012 is an abundant number, since it is smaller than the sum of its proper divisors (329015372).

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

241561012 is a wasteful number, since it uses less digits than its factorization.

241561012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 241561012 is about 15542.2331728745. The cubic root of 241561012 is about 622.7909314651.

The spelling of 241561012 in words is "two hundred forty-one million, five hundred sixty-one thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 37 41 44 47 74 77 82 94 121 148 154 164 188 242 259 287 308 329 407 451 484 517 518 574 658 814 847 902 1034 1036 1148 1316 1517 1628 1694 1739 1804 1927 2068 2849 3034 3157 3388 3478 3619 3854 4477 4961 5687 5698 6068 6314 6956 7238 7708 8954 9922 10619 11374 11396 12173 12628 13489 14476 16687 17908 19129 19844 21197 21238 22748 24346 26978 31339 33374 34727 38258 39809 42394 42476 48692 53956 62678 66748 69454 71299 76516 79618 84788 116809 125356 133903 138908 142598 148379 159236 183557 210419 233167 233618 267806 285196 296758 367114 420838 466334 467236 499093 535612 593516 734228 784289 841676 932668 998186 1284899 1472933 1568578 1632169 1996372 2569798 2945866 3137156 3264338 5139596 5490023 5891732 6528676 8627179 10980046 17254358 21960092 34508716 60390253 120780506 241561012