Search a number
-
+
212481940 = 225111950833
BaseRepresentation
bin11001010101000…
…11011110010100
3112210211012102111
430222203132110
5413343410230
633030120404
75160031606
oct1452433624
9483735374
10212481940
11a9a38910
125b1b0104
1335037778
1420311176
15139c292a
hexcaa3794

212481940 has 48 divisors (see below), whose sum is σ = 512406720. Its totient is φ = 73198080.

The previous prime is 212481911. The next prime is 212481947. The reversal of 212481940 is 49184212.

212481940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212481947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21237 + ... + 29596.

It is an arithmetic number, because the mean of its divisors is an integer number (10675140).

Almost surely, 2212481940 is an apocalyptic number.

212481940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212481940 is an abundant number, since it is smaller than the sum of its proper divisors (299924780).

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

212481940 is a wasteful number, since it uses less digits than its factorization.

212481940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50872 (or 50870 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 212481940 is about 14576.7602710616. The cubic root of 212481940 is about 596.7246901463.

The spelling of 212481940 in words is "two hundred twelve million, four hundred eighty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 50833 101666 203332 254165 508330 559163 965827 1016660 1118326 1931654 2236652 2795815 3863308 4829135 5591630 9658270 10624097 11183260 19316540 21248194 42496388 53120485 106240970 212481940