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242051220 = 223351732591
BaseRepresentation
bin11100110110101…
…10100010010100
3121212110110212000
432123112202110
5443431114340
640003555300
75666254455
oct1633264224
9555413760
10242051220
111146a4734
126908bb30
133b1bb698
142420b12c
15163b3d30
hexe6d6894

242051220 has 96 divisors (see below), whose sum is σ = 757693440. Its totient is φ = 64149120.

The previous prime is 242051207. The next prime is 242051221. The reversal of 242051220 is 22150242.

242051220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 242051193 and 242051202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242051221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92125 + ... + 94715.

It is an arithmetic number, because the mean of its divisors is an integer number (7892640).

Almost surely, 2242051220 is an apocalyptic number.

242051220 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 242051220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378846720).

242051220 is an abundant number, since it is smaller than the sum of its proper divisors (515642220).

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

242051220 is a wasteful number, since it uses less digits than its factorization.

242051220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 242051220 is about 15557.9953721551. The cubic root of 242051220 is about 623.2119304366.

It can be divided in two parts, 24205 and 1220, that added together give a triangular number (25425 = T225).

The spelling of 242051220 in words is "two hundred forty-two million, fifty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 173 180 270 346 519 540 692 865 1038 1557 1730 2076 2591 2595 3114 3460 4671 5182 5190 6228 7773 7785 9342 10364 10380 12955 15546 15570 18684 23319 23355 25910 31092 31140 38865 46638 46710 51820 69957 77730 93276 93420 116595 139914 155460 233190 279828 349785 448243 466380 699570 896486 1344729 1399140 1792972 2241215 2689458 4034187 4482430 5378916 6723645 8068374 8964860 12102561 13447290 16136748 20170935 24205122 26894580 40341870 48410244 60512805 80683740 121025610 242051220