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241057212 = 223111727189
BaseRepresentation
bin11100101111000…
…11110110111100
3121210120222022220
432113203312330
5443202312322
635530405340
75654644464
oct1627436674
9553528286
10241057212
11114085940
1268890850
133ac31106
142402cba4
151626955c
hexe5e3dbc

241057212 has 144 divisors (see below), whose sum is σ = 668424960. Its totient is φ = 67020800.

The previous prime is 241057207. The next prime is 241057213. The reversal of 241057212 is 212750142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241057213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2708464 + ... + 2708552.

It is an arithmetic number, because the mean of its divisors is an integer number (4641840).

Almost surely, 2241057212 is an apocalyptic number.

241057212 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 241057212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334212480).

241057212 is an abundant number, since it is smaller than the sum of its proper divisors (427367748).

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

241057212 is a wasteful number, since it uses less digits than its factorization.

241057212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 241057212 is about 15526.0172613584. The cubic root of 241057212 is about 622.3576655594.

The spelling of 241057212 in words is "two hundred forty-one million, fifty-seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 71 89 102 132 142 178 187 204 213 267 284 289 356 374 426 534 561 578 748 781 852 867 979 1068 1122 1156 1207 1513 1562 1734 1958 2244 2343 2414 2937 3026 3124 3179 3468 3621 3916 4539 4686 4828 5874 6052 6319 6358 7242 9078 9372 9537 11748 12638 12716 13277 14484 16643 18156 18957 19074 20519 25276 25721 26554 33286 37914 38148 39831 41038 49929 51442 53108 61557 66572 69509 75828 77163 79662 82076 99858 102884 107423 123114 139018 154326 159324 199716 208527 214846 225709 246228 278036 282931 308652 322269 417054 429692 451418 565862 644538 677127 834108 848793 902836 1131724 1181653 1289076 1354254 1697586 1826191 2363306 2708508 3395172 3544959 3652382 4726612 5478573 7089918 7304764 10957146 14179836 20088101 21914292 40176202 60264303 80352404 120528606 241057212