Search a number
-
+
211254320 = 24513211999
BaseRepresentation
bin11001001011101…
…11110000110000
3112201111211110002
430211313300300
5413040114240
632543525132
75143426544
oct1445676060
9481454402
10211254320
11a927a552
125a8b97a8
13349c7a74
14200b1a24
151382dd15
hexc977c30

211254320 has 40 divisors (see below), whose sum is σ = 491784000. Its totient is φ = 84395520.

The previous prime is 211254301. The next prime is 211254341. The reversal of 211254320 is 23452112.

211254320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211254292 and 211254301.

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, 104681 + ... + 106679.

It is an arithmetic number, because the mean of its divisors is an integer number (12294600).

Almost surely, 2211254320 is an apocalyptic number.

211254320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211254320 is an abundant number, since it is smaller than the sum of its proper divisors (280529680).

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

211254320 is a wasteful number, since it uses less digits than its factorization.

211254320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 211254320 is about 14534.5904655068. The cubic root of 211254320 is about 595.5732723086.

The spelling of 211254320 in words is "two hundred eleven million, two hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1321 1999 2642 3998 5284 6605 7996 9995 10568 13210 15992 19990 21136 26420 31984 39980 52840 79960 105680 159920 2640679 5281358 10562716 13203395 21125432 26406790 42250864 52813580 105627160 211254320