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211420242 = 232116715937
BaseRepresentation
bin11001001101000…
…00010001010010
3112201211021001100
430212200101102
5413110421432
632551245230
75145020355
oct1446402122
9481737040
10211420242
11a9383180
125a979816
1334a55447
142011629c
151386307c
hexc9a0452

211420242 has 48 divisors (see below), whose sum is σ = 507210912. Its totient is φ = 63106560.

The previous prime is 211420229. The next prime is 211420247. The reversal of 211420242 is 242024112.

211420242 is a `hidden beast` number, since 2 + 1 + 1 + 420 + 242 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (211420247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5298 + ... + 21234.

It is an arithmetic number, because the mean of its divisors is an integer number (10566894).

Almost surely, 2211420242 is an apocalyptic number.

211420242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211420242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253605456).

211420242 is an abundant number, since it is smaller than the sum of its proper divisors (295790670).

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

211420242 is a wasteful number, since it uses less digits than its factorization.

211420242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16023 (or 16020 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 211420242 is about 14540.2971771556. The cubic root of 211420242 is about 595.7291552725.

Adding to 211420242 its reverse (242024112), we get a palindrome (453444354).

The spelling of 211420242 in words is "two hundred eleven million, four hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 134 198 201 402 603 737 1206 1474 2211 4422 6633 13266 15937 31874 47811 95622 143433 175307 286866 350614 525921 1051842 1067779 1577763 2135558 3155526 3203337 6406674 9610011 11745569 19220022 23491138 35236707 70473414 105710121 211420242