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214211020 = 22517596089
BaseRepresentation
bin11001100010010…
…01100111001100
3112221002001021111
430301021213030
5414314223040
633131141404
75210522632
oct1461114714
9487061244
10214211020
11aaa09a01
125b8a4864
13354c17aa
1420641352
1513c14dea
hexcc499cc

214211020 has 24 divisors (see below), whose sum is σ = 450172800. Its totient is φ = 85621632.

The previous prime is 214211003. The next prime is 214211021. The reversal of 214211020 is 20112412.

It is a happy number.

It is a super-2 number, since 2×2142110202 = 91772722178880800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214211021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32136 + ... + 38224.

It is an arithmetic number, because the mean of its divisors is an integer number (18757200).

Almost surely, 2214211020 is an apocalyptic number.

214211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214211020 is an abundant number, since it is smaller than the sum of its proper divisors (235961780).

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

214211020 is a wasteful number, since it uses less digits than its factorization.

214211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7857 (or 7855 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 214211020 is about 14635.9495763001. The cubic root of 214211020 is about 598.3389427620.

Adding to 214211020 its reverse (20112412), we get a palindrome (234323432).

The spelling of 214211020 in words is "two hundred fourteen million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 1759 3518 6089 7036 8795 12178 17590 24356 30445 35180 60890 121780 10710551 21421102 42842204 53552755 107105510 214211020