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211102272 = 2632366497
BaseRepresentation
bin11001001010100…
…10101001000000
3112201020002212200
430211102221000
5413020233042
632540353200
75142224343
oct1445225100
9481202780
10211102272
11a9186297
125a845800
13349737b4
142007245a
15137edc4c
hexc952a40

211102272 has 42 divisors (see below), whose sum is σ = 605088198. Its totient is φ = 70367232.

The previous prime is 211102271. The next prime is 211102313. The reversal of 211102272 is 272201112.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 210134016 + 968256 = 14496^2 + 984^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211102271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 182673 + ... + 183824.

Almost surely, 2211102272 is an apocalyptic number.

It is an amenable number.

211102272 is an abundant number, since it is smaller than the sum of its proper divisors (393985926).

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

211102272 is a wasteful number, since it uses less digits than its factorization.

211102272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366515 (or 366502 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 211102272 is about 14529.3589672773. The cubic root of 211102272 is about 595.4303522189.

Adding to 211102272 its reverse (272201112), we get a palindrome (483303384).

The spelling of 211102272 in words is "two hundred eleven million, one hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 366497 732994 1099491 1465988 2198982 2931976 3298473 4397964 5863952 6596946 8795928 11727904 13193892 17591856 23455808 26387784 35183712 52775568 70367424 105551136 211102272