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242201414 = 272131753211
BaseRepresentation
bin11100110111110…
…11001101000110
3121212202002212202
432123323031012
5444000421124
640011114502
76000451400
oct1633731506
9555662782
10242201414
11114797564
1269142a32
133b241b60
1424249b70
15163e35ae
hexe6fb346

242201414 has 96 divisors (see below), whose sum is σ = 493317216. Its totient is φ = 88058880.

The previous prime is 242201411. The next prime is 242201423. The reversal of 242201414 is 414102242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242201411) 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, 1147769 + ... + 1147979.

It is an arithmetic number, because the mean of its divisors is an integer number (5138721).

Almost surely, 2242201414 is an apocalyptic number.

242201414 is an abundant number, since it is smaller than the sum of its proper divisors (251115802).

242201414 is a wasteful number, since it uses less digits than its factorization.

242201414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 242201414 is about 15562.8215308150. The cubic root of 242201414 is about 623.3408058306.

Adding to 242201414 its reverse (414102242), we get a palindrome (656303656).

The spelling of 242201414 in words is "two hundred forty-two million, two hundred one thousand, four hundred fourteen".

Divisors: 1 2 7 13 14 17 26 34 49 53 91 98 106 119 182 211 221 238 371 422 442 637 689 742 833 901 1274 1378 1477 1547 1666 1802 2597 2743 2954 3094 3587 4823 5194 5486 6307 7174 9646 10339 10829 11183 11713 12614 19201 20678 21658 22366 23426 25109 33761 38402 44149 46631 50218 67522 78281 81991 88298 93262 134407 145379 156562 163982 175763 190111 268814 290758 326417 351526 380222 547967 573937 652834 1017653 1095934 1147874 1330777 2035306 2284919 2471443 2661554 4569838 4942886 7123571 9315439 14247142 17300101 18630878 34600202 121100707 242201414