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211213024 = 25111933109
BaseRepresentation
bin11001001011011…
…01101011100000
3112201102201210121
430211231223200
5413032304044
632543010024
75143165261
oct1445555340
9481381717
10211213024
11a9251520
125a899914
13349b2029
14200a0968
1513821984
hexc96dae0

211213024 has 48 divisors (see below), whose sum is σ = 456125040. Its totient is φ = 95477760.

The previous prime is 211213021. The next prime is 211213031. The reversal of 211213024 is 420312112.

211213024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112130242 = 89221883014449152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 211212989 and 211213007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211213021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66382 + ... + 69490.

It is an arithmetic number, because the mean of its divisors is an integer number (9502605).

Almost surely, 2211213024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211213024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228062520).

211213024 is an abundant number, since it is smaller than the sum of its proper divisors (244912016).

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

211213024 is a wasteful number, since it uses less digits than its factorization.

211213024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 211213024 is about 14533.1697850125. The cubic root of 211213024 is about 595.5344622200.

Adding to 211213024 its reverse (420312112), we get a palindrome (631525136).

The spelling of 211213024 in words is "two hundred eleven million, two hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 193 352 386 772 1544 2123 3088 3109 4246 6176 6218 8492 12436 16984 24872 33968 34199 49744 67936 68398 99488 136796 273592 547184 600037 1094368 1200074 2400148 4800296 6600407 9600592 13200814 19201184 26401628 52803256 105606512 211213024