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211221000232 = 231110123764739
BaseRepresentation
bin1100010010110111000…
…0001011000000101000
3202012012100120120001121
43010231300023000220
511430040034001412
6241011131025024
721155152610254
oct3045560130050
9665170516047
10211221000232
118163a825810
1234b2959b174
1316bc1c74598
14a31a47d264
15576361a107
hex312dc0b028

211221000232 has 32 divisors (see below), whose sum is σ = 436320626400. Its totient is φ = 95058952000.

The previous prime is 211221000217. The next prime is 211221000253. The reversal of 211221000232 is 232000122112.

It is a happy number.

It is a super-4 number, since 4×2112210002324 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11873482 + ... + 11891257.

It is an arithmetic number, because the mean of its divisors is an integer number (13635019575).

Almost surely, 2211221000232 is an apocalyptic number.

211221000232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211221000232 is an abundant number, since it is smaller than the sum of its proper divisors (225099626168).

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

211221000232 is a wasteful number, since it uses less digits than its factorization.

211221000232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23764857 (or 23764853 counting only the distinct ones).

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

Adding to 211221000232 its reverse (232000122112), we get a palindrome (443221122344).

The spelling of 211221000232 in words is "two hundred eleven billion, two hundred twenty-one million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 4444 8888 23764739 47529478 95058956 190117912 261412129 522824258 1045648516 2091297032 2400238639 4800477278 9600954556 19201909112 26402625029 52805250058 105610500116 211221000232