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242222500 = 22541329257
BaseRepresentation
bin11100111000000…
…00010110100100
3121212210011210201
432130000112210
5444002110000
640011400244
76000600022
oct1634002644
9555704721
10242222500
11114801393
1269153084
133b24b630
1424253712
15163e996a
hexe7005a4

242222500 has 120 divisors (see below), whose sum is σ = 592404120. Its totient is φ = 86016000.

The previous prime is 242222467. The next prime is 242222509. The reversal of 242222500 is 5222242.

It can be written as a sum of positive squares in 20 ways, for example, as 226683136 + 15539364 = 15056^2 + 3942^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242222509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 942372 + ... + 942628.

It is an arithmetic number, because the mean of its divisors is an integer number (4936701).

Almost surely, 2242222500 is an apocalyptic number.

242222500 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 242222500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296202060).

242222500 is an abundant number, since it is smaller than the sum of its proper divisors (350181620).

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

242222500 is a wasteful number, since it uses less digits than its factorization.

242222500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 242222500 is about 15563.4989639220. The cubic root of 242222500 is about 623.3588946086.

Adding to 242222500 its reverse (5222242), we get a palindrome (247444742).

The spelling of 242222500 in words is "two hundred forty-two million, two hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 58 65 100 116 125 130 145 250 257 260 290 325 377 500 514 580 625 650 725 754 1028 1250 1285 1300 1450 1508 1625 1885 2500 2570 2900 3250 3341 3625 3770 5140 6425 6500 6682 7250 7453 7540 8125 9425 12850 13364 14500 14906 16250 16705 18125 18850 25700 29812 32125 32500 33410 36250 37265 37700 47125 64250 66820 72500 74530 83525 94250 96889 128500 149060 160625 167050 186325 188500 193778 235625 321250 334100 372650 387556 417625 471250 484445 642500 745300 835250 931625 942500 968890 1670500 1863250 1937780 2088125 2422225 3726500 4176250 4658125 4844450 8352500 9316250 9688900 12111125 18632500 24222250 48444500 60555625 121111250 242222500