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242150000 = 245529167
BaseRepresentation
bin11100110111011…
…10101001110000
3121212122111100112
432123232221300
5443442300000
640010040452
76000145451
oct1633565160
9555574315
10242150000
11114761974
1269119128
133b224631
1424235128
15163d3235
hexe6eea70

242150000 has 120 divisors (see below), whose sum is σ = 610273440. Its totient is φ = 92960000.

The previous prime is 242149997. The next prime is 242150017. The reversal of 242150000 is 51242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1449917 + ... + 1450083.

It is an arithmetic number, because the mean of its divisors is an integer number (5085612).

Almost surely, 2242150000 is an apocalyptic number.

242150000 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 242150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305136720).

242150000 is an abundant number, since it is smaller than the sum of its proper divisors (368123440).

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

242150000 is an equidigital number, since it uses as much as digits as its factorization.

242150000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 242150000 is about 15561.1696218504. The cubic root of 242150000 is about 623.2966955566.

The spelling of 242150000 in words is "two hundred forty-two million, one hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 167 200 232 250 290 334 400 464 500 580 625 668 725 835 1000 1160 1250 1336 1450 1670 2000 2320 2500 2672 2900 3125 3340 3625 4175 4843 5000 5800 6250 6680 7250 8350 9686 10000 11600 12500 13360 14500 16700 18125 19372 20875 24215 25000 29000 33400 36250 38744 41750 48430 50000 58000 66800 72500 77488 83500 90625 96860 104375 121075 145000 167000 181250 193720 208750 242150 290000 334000 362500 387440 417500 484300 521875 605375 725000 835000 968600 1043750 1210750 1450000 1670000 1937200 2087500 2421500 3026875 4175000 4843000 6053750 8350000 9686000 12107500 15134375 24215000 30268750 48430000 60537500 121075000 242150000