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242212908 = 223723283443
BaseRepresentation
bin11100110111111…
…10000000101100
3121212202200122110
432123332000230
5444001303113
640011244020
76000530040
oct1633760054
9555680573
10242212908
111147a5163
1269149610
133b247162
1424250020
15163e6bc3
hexe6fe02c

242212908 has 96 divisors (see below), whose sum is σ = 677892096. Its totient is φ = 65812032.

The previous prime is 242212907. The next prime is 242212961. The reversal of 242212908 is 809212242.

It is not an unprimeable number, because it can be changed into a prime (242212903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546535 + ... + 546977.

It is an arithmetic number, because the mean of its divisors is an integer number (7061376).

Almost surely, 2242212908 is an apocalyptic number.

242212908 is a gapful number since it is divisible by the number (28) 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 242212908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338946048).

242212908 is an abundant number, since it is smaller than the sum of its proper divisors (435679188).

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

242212908 is a wasteful number, since it uses less digits than its factorization.

242212908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 242212908 is about 15563.1908039451. The cubic root of 242212908 is about 623.3506661720.

The spelling of 242212908 in words is "two hundred forty-two million, two hundred twelve thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 283 322 443 483 566 644 849 886 966 1132 1329 1698 1772 1932 1981 2658 3101 3396 3962 5316 5943 6202 6509 7924 9303 10189 11886 12404 13018 18606 19527 20378 23772 26036 30567 37212 39054 40756 45563 61134 71323 78108 91126 122268 125369 136689 142646 182252 213969 250738 273378 285292 376107 427938 501476 546756 752214 855876 877583 1504428 1755166 2632749 2883487 3510332 5265498 5766974 8650461 10530996 11533948 17300922 20184409 34601844 40368818 60553227 80737636 121106454 242212908