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211144344 = 23371123911
BaseRepresentation
bin11001001010111…
…00111010011000
3112201022020120220
430211130322120
5413023104334
632541320040
75142461115
oct1445347230
9481266526
10211144344
11a9204964
125a866020
13349899a8
142008390c
151380b449
hexc95ce98

211144344 has 32 divisors (see below), whose sum is σ = 535299840. Its totient is φ = 69389600.

The previous prime is 211144337. The next prime is 211144361. The reversal of 211144344 is 443441112.

211144344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 60252 + ... + 63659.

It is an arithmetic number, because the mean of its divisors is an integer number (16728120).

Almost surely, 2211144344 is an apocalyptic number.

211144344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211144344 is an abundant number, since it is smaller than the sum of its proper divisors (324155496).

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

211144344 is a wasteful number, since it uses less digits than its factorization.

211144344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123991 (or 123987 counting only the distinct ones).

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

The square root of 211144344 is about 14530.8067222711. The cubic root of 211144344 is about 595.4699053725.

Adding to 211144344 its reverse (443441112), we get a palindrome (654585456).

The spelling of 211144344 in words is "two hundred eleven million, one hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1704 123911 247822 371733 495644 743466 991288 1486932 2973864 8797681 17595362 26393043 35190724 52786086 70381448 105572172 211144344