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242205140 = 22571281607
BaseRepresentation
bin11100110111111…
…00000111010100
3121212202021222202
432123330013110
5444001031030
640011144032
76000465302
oct1633740724
9555667882
10242205140
1111479a341
1269145018
133b243768
142424b272
15163e4745
hexe6fc1d4

242205140 has 48 divisors (see below), whose sum is σ = 518482944. Its totient is φ = 95020800.

The previous prime is 242205121. The next prime is 242205143. The reversal of 242205140 is 41502242.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242205143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398717 + ... + 399323.

It is an arithmetic number, because the mean of its divisors is an integer number (10801728).

Almost surely, 2242205140 is an apocalyptic number.

242205140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242205140 is an abundant number, since it is smaller than the sum of its proper divisors (276277804).

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

242205140 is a wasteful number, since it uses less digits than its factorization.

242205140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 242205140 is about 15562.9412387248. The cubic root of 242205140 is about 623.3440022831.

Adding to 242205140 its reverse (41502242), we get a palindrome (283707382).

The spelling of 242205140 in words is "two hundred forty-two million, two hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 71 142 281 284 355 562 607 710 1124 1214 1405 1420 2428 2810 3035 5620 6070 12140 19951 39902 43097 79804 86194 99755 170567 172388 199510 215485 341134 399020 430970 682268 852835 861940 1705670 3411340 12110257 24220514 48441028 60551285 121102570 242205140