Search a number
-
+
211054416 = 24310342689
BaseRepresentation
bin11001001010001…
…10111101010000
3112201010200020020
430211012331100
5413012220131
632535343440
75141634666
oct1445067520
9481120206
10211054416
11a9153341
125a821b80
1334957a91
142005cc36
15137de996
hexc946f50

211054416 has 40 divisors (see below), whose sum is σ = 550530240. Its totient is φ = 69666816.

The previous prime is 211054409. The next prime is 211054423. The reversal of 211054416 is 614450112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211054409) and next prime (211054423).

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

It is a congruent number.

It is an unprimeable number.

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, 16401 + ... + 26288.

It is an arithmetic number, because the mean of its divisors is an integer number (13763256).

Almost surely, 2211054416 is an apocalyptic number.

It is an amenable number.

211054416 is an abundant number, since it is smaller than the sum of its proper divisors (339475824).

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

211054416 is a wasteful number, since it uses less digits than its factorization.

211054416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42803 (or 42797 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 211054416 is about 14527.7120015507. The cubic root of 211054416 is about 595.3853549637.

The spelling of 211054416 in words is "two hundred eleven million, fifty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1236 1648 2472 4944 42689 85378 128067 170756 256134 341512 512268 683024 1024536 2049072 4396967 8793934 13190901 17587868 26381802 35175736 52763604 70351472 105527208 211054416