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242133430 = 257114371103
BaseRepresentation
bin11100110111010…
…10100110110110
3121212121122121211
432123222212312
5443441232210
640005432034
76000046240
oct1633524666
9555548554
10242133430
11114750480
126910b61a
133b219c26
142422d090
15163cd38a
hexe6ea9b6

242133430 has 128 divisors (see below), whose sum is σ = 569327616. Its totient is φ = 71971200.

The previous prime is 242133421. The next prime is 242133487. The reversal of 242133430 is 34331242.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2350759 + ... + 2350861.

It is an arithmetic number, because the mean of its divisors is an integer number (4447872).

Almost surely, 2242133430 is an apocalyptic number.

242133430 is an abundant number, since it is smaller than the sum of its proper divisors (327194186).

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

242133430 is a wasteful number, since it uses less digits than its factorization.

242133430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242.

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 242133430 is about 15560.6371977500. The cubic root of 242133430 is about 623.2824781131.

Adding to 242133430 its reverse (34331242), we get a palindrome (276464672).

The spelling of 242133430 in words is "two hundred forty-two million, one hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 43 55 70 71 77 86 103 110 142 154 206 215 301 355 385 430 473 497 515 602 710 721 770 781 946 994 1030 1133 1442 1505 1562 2266 2365 2485 3010 3053 3311 3605 3905 4429 4730 4970 5467 5665 6106 6622 7210 7313 7810 7931 8858 10934 11330 14626 15265 15862 16555 21371 22145 27335 30530 31003 33110 33583 36565 39655 42742 44290 48719 51191 54670 62006 67166 73130 79310 80443 97438 102382 106855 155015 160886 167915 213710 235081 243595 255955 310030 314459 335830 341033 402215 470162 487190 511910 563101 628918 682066 804430 1126202 1175405 1572295 1705165 2201213 2350810 2815505 3144590 3410330 3459049 4402426 5631010 6918098 11006065 17295245 22012130 24213343 34590490 48426686 121066715 242133430