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211221430224 = 2437628635209
BaseRepresentation
bin1100010010110111000…
…1110011111111010000
3202012012101101101220020
43010231301303333100
511430040141231344
6241011144143440
721155156351010
oct3045561637720
9665171341806
10211221430224
118163aa99882
1234b29767b80
1316bc209520c
14a31a551c40
1557636a2719
hex312dc73fd0

211221430224 has 40 divisors (see below), whose sum is σ = 623606128320. Its totient is φ = 60348979968.

The previous prime is 211221430223. The next prime is 211221430309. The reversal of 211221430224 is 422034122112.

It is a super-2 number, since 2×2112214302242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 211221430194 and 211221430203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221430223) 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, 314317269 + ... + 314317940.

It is an arithmetic number, because the mean of its divisors is an integer number (15590153208).

Almost surely, 2211221430224 is an apocalyptic number.

211221430224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211221430224 is an abundant number, since it is smaller than the sum of its proper divisors (412384698096).

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

211221430224 is a wasteful number, since it uses less digits than its factorization.

211221430224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628635227 (or 628635221 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 211221430224 its reverse (422034122112), we get a palindrome (633255552336).

The spelling of 211221430224 in words is "two hundred eleven billion, two hundred twenty-one million, four hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 628635209 1257270418 1885905627 2514540836 3771811254 4400446463 5029081672 7543622508 8800892926 10058163344 13201339389 15087245016 17601785852 26402678778 30174490032 35203571704 52805357556 70407143408 105610715112 211221430224