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211372420 = 225710611423
BaseRepresentation
bin11001001100101…
…00100110000100
3112201201211110011
430212110212010
5413102404140
632550240004
75144431060
oct1446244604
9481654404
10211372420
11a9350256
125a956004
1334a3974c
1420102aa0
1513853cea
hexc994984

211372420 has 48 divisors (see below), whose sum is σ = 508128768. Its totient is φ = 72351360.

The previous prime is 211372393. The next prime is 211372429. The reversal of 211372420 is 24273112.

It is a junction number, because it is equal to n+sod(n) for n = 211372391 and 211372400.

It is not an unprimeable number, because it can be changed into a prime (211372429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147829 + ... + 149251.

It is an arithmetic number, because the mean of its divisors is an integer number (10586016).

Almost surely, 2211372420 is an apocalyptic number.

211372420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211372420 is an abundant number, since it is smaller than the sum of its proper divisors (296756348).

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

211372420 is a wasteful number, since it uses less digits than its factorization.

211372420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 211372420 is about 14538.6526198269. The cubic root of 211372420 is about 595.6842350894.

The spelling of 211372420 in words is "two hundred eleven million, three hundred seventy-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1061 1423 2122 2846 4244 5305 5692 7115 7427 9961 10610 14230 14854 19922 21220 28460 29708 37135 39844 49805 74270 99610 148540 199220 1509803 3019606 6039212 7549015 10568621 15098030 21137242 30196060 42274484 52843105 105686210 211372420