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211245144 = 23311800171
BaseRepresentation
bin11001001011101…
…01100001011000
3112201111100212020
430211311201120
5413034321034
632543414440
75143361025
oct1445654130
9481440766
10211245144
11a9273670
125a8b4420
13349c3836
14200ac54c
151382b249
hexc975858

211245144 has 32 divisors (see below), whose sum is σ = 576123840. Its totient is φ = 64013600.

The previous prime is 211245143. The next prime is 211245157. The reversal of 211245144 is 441542112.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211245143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399822 + ... + 400349.

It is an arithmetic number, because the mean of its divisors is an integer number (18003870).

Almost surely, 2211245144 is an apocalyptic number.

211245144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211245144 is an abundant number, since it is smaller than the sum of its proper divisors (364878696).

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

211245144 is a wasteful number, since it uses less digits than its factorization.

211245144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800191 (or 800187 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 211245144 is about 14534.2748013102. The cubic root of 211245144 is about 595.5646491169.

Adding to 211245144 its reverse (441542112), we get a palindrome (652787256).

The spelling of 211245144 in words is "two hundred eleven million, two hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 800171 1600342 2400513 3200684 4801026 6401368 8801881 9602052 17603762 19204104 26405643 35207524 52811286 70415048 105622572 211245144