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242187500 = 225931
BaseRepresentation
bin11100110111101…
…11110011101100
3121212201101210102
432123313303230
5444000000000
640010530232
76000363002
oct1633676354
9555641712
10242187500
11114788065
1269136978
133b238719
1424244a72
15163de3d5
hexe6f7cec

242187500 has 60 divisors (see below), whose sum is σ = 546874944. Its totient is φ = 93750000.

The previous prime is 242187487. The next prime is 242187521. The reversal of 242187500 is 5781242.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7812485 + ... + 7812515.

Almost surely, 2242187500 is an apocalyptic number.

242187500 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 242187500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273437472).

242187500 is an abundant number, since it is smaller than the sum of its proper divisors (304687444).

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

242187500 is an frugal number, since it uses more digits than its factorization.

242187500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 242187500 is about 15562.3744974859. The cubic root of 242187500 is about 623.3288690298.

The spelling of 242187500 in words is "two hundred forty-two million, one hundred eighty-seven thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 125 155 250 310 500 620 625 775 1250 1550 2500 3100 3125 3875 6250 7750 12500 15500 15625 19375 31250 38750 62500 77500 78125 96875 156250 193750 312500 387500 390625 484375 781250 968750 1562500 1937500 1953125 2421875 3906250 4843750 7812500 9687500 12109375 24218750 48437500 60546875 121093750 242187500