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242213240 = 235411131307
BaseRepresentation
bin11100110111111…
…10000101111000
3121212202201002202
432123332011320
5444001310430
640011245332
76000531023
oct1633760570
9555681082
10242213240
111147a5435
1269149848
133b247359
14242501ba
15163e6d45
hexe6fe178

242213240 has 64 divisors (see below), whose sum is σ = 563643360. Its totient is φ = 93614080.

The previous prime is 242213239. The next prime is 242213267. The reversal of 242213240 is 42312242.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 184667 + ... + 185973.

Almost surely, 2242213240 is an apocalyptic number.

242213240 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 242213240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281821680).

242213240 is an abundant number, since it is smaller than the sum of its proper divisors (321430120).

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

242213240 is a wasteful number, since it uses less digits than its factorization.

242213240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 242213240 is about 15563.2014701346. The cubic root of 242213240 is about 623.3509509797.

Adding to 242213240 its reverse (42312242), we get a palindrome (284525482).

The spelling of 242213240 in words is "two hundred forty-two million, two hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 113 164 205 226 328 410 452 565 820 904 1130 1307 1640 2260 2614 4520 4633 5228 6535 9266 10456 13070 18532 23165 26140 37064 46330 52280 53587 92660 107174 147691 185320 214348 267935 295382 428696 535870 590764 738455 1071740 1181528 1476910 2143480 2953820 5907640 6055331 12110662 24221324 30276655 48442648 60553310 121106620 242213240