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242212300 = 225211317103
BaseRepresentation
bin11100110111111…
…01110111001100
3121212202122210221
432123331313030
5444001243200
640011241124
76000525211
oct1633756714
9555678727
10242212300
111147a4760
12691491a4
133b246ab5
142424db08
15163e691a
hexe6fddcc

242212300 has 72 divisors (see below), whose sum is σ = 591962112. Its totient is φ = 85224000.

The previous prime is 242212261. The next prime is 242212307. The reversal of 242212300 is 3212242.

It is not an unprimeable number, because it can be changed into a prime (242212307) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 30549 + ... + 37651.

It is an arithmetic number, because the mean of its divisors is an integer number (8221696).

Almost surely, 2242212300 is an apocalyptic number.

242212300 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 242212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295981056).

242212300 is an abundant number, since it is smaller than the sum of its proper divisors (349749812).

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

242212300 is a wasteful number, since it uses less digits than its factorization.

242212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7159 (or 7152 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 242212300 is about 15563.1712706633. The cubic root of 242212300 is about 623.3501445957.

Adding to 242212300 its reverse (3212242), we get a palindrome (245424542).

The spelling of 242212300 in words is "two hundred forty-two million, two hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1705 3100 3410 6820 7103 8525 14206 17050 28412 34100 35515 71030 78133 142060 156266 177575 220193 312532 355150 390665 440386 710300 781330 880772 1100965 1562660 1953325 2201930 2422123 3906650 4403860 4844246 5504825 7813300 9688492 11009650 12110615 22019300 24221230 48442460 60553075 121106150 242212300