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211542420 = 223528112547
BaseRepresentation
bin11001001101111…
…10000110010100
3112202001110122110
430212332012110
5413123324140
632554031020
75146036515
oct1446760624
9482043573
10211542420
11a9456a51
125aa18470
1334a98c3b
1420148a0c
1513889380
hexc9be194

211542420 has 48 divisors (see below), whose sum is σ = 594474048. Its totient is φ = 56206080.

The previous prime is 211542403. The next prime is 211542427. The reversal of 211542420 is 24245112.

211542420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211542427) 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, 10587 + ... + 23133.

It is an arithmetic number, because the mean of its divisors is an integer number (12384876).

Almost surely, 2211542420 is an apocalyptic number.

211542420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211542420 is an abundant number, since it is smaller than the sum of its proper divisors (382931628).

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

211542420 is a wasteful number, since it uses less digits than its factorization.

211542420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12840 (or 12838 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 211542420 is about 14544.4979287702. The cubic root of 211542420 is about 595.8438888160.

Adding to 211542420 its reverse (24245112), we get a palindrome (235787532).

The spelling of 211542420 in words is "two hundred eleven million, five hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 281 562 843 1124 1405 1686 2810 3372 4215 5620 8430 12547 16860 25094 37641 50188 62735 75282 125470 150564 188205 250940 376410 752820 3525707 7051414 10577121 14102828 17628535 21154242 35257070 42308484 52885605 70514140 105771210 211542420