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242234300 = 2252711163193
BaseRepresentation
bin11100111000000…
…11001110111100
3121212210202222202
432130003032330
5444002444200
640011531032
76000646310
oct1634031674
9555722882
10242234300
1111480a240
1269159a78
133b253b09
1424257b40
15163ed1d5
hexe7033bc

242234300 has 144 divisors (see below), whose sum is σ = 662790912. Its totient is φ = 74649600.

The previous prime is 242234281. The next prime is 242234347. The reversal of 242234300 is 3432242.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1255004 + ... + 1255196.

Almost surely, 2242234300 is an apocalyptic number.

242234300 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 242234300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331395456).

242234300 is an abundant number, since it is smaller than the sum of its proper divisors (420556612).

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

242234300 is a wasteful number, since it uses less digits than its factorization.

242234300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 242234300 is about 15563.8780514369. The cubic root of 242234300 is about 623.3690168660.

Adding to 242234300 its reverse (3432242), we get a palindrome (245666542).

The spelling of 242234300 in words is "two hundred forty-two million, two hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 163 175 193 220 275 308 326 350 385 386 550 652 700 770 772 815 965 1100 1141 1351 1540 1630 1793 1925 1930 2123 2282 2702 3260 3586 3850 3860 4075 4246 4564 4825 5404 5705 6755 7172 7700 8150 8492 8965 9650 10615 11410 12551 13510 14861 16300 17930 19300 21230 22820 25102 27020 28525 29722 31459 33775 35860 42460 44825 50204 53075 57050 59444 62755 62918 67550 74305 89650 106150 114100 125510 125836 135100 148610 157295 179300 212300 220213 251020 297220 313775 314590 346049 371525 440426 627550 629180 692098 743050 786475 880852 1101065 1255100 1384196 1486100 1572950 1730245 2202130 2422343 3145900 3460490 4404260 4844686 5505325 6920980 8651225 9689372 11010650 12111715 17302450 22021300 24223430 34604900 48446860 60558575 121117150 242234300