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213254240 = 2554193181
BaseRepresentation
bin11001011011000…
…00000001100000
3112212021102211012
430231200001200
5414043113430
633054440052
75166426323
oct1455400140
9485242735
10213254240
11aa416081
125b503028
1335248154
14204727ba
1513ac6695
hexcb60060

213254240 has 48 divisors (see below), whose sum is σ = 505174320. Its totient is φ = 85071360.

The previous prime is 213254227. The next prime is 213254263. The reversal of 213254240 is 42452312.

It is a happy number.

It is a congruent number.

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, 65450 + ... + 68630.

It is an arithmetic number, because the mean of its divisors is an integer number (10524465).

Almost surely, 2213254240 is an apocalyptic number.

213254240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213254240 is an abundant number, since it is smaller than the sum of its proper divisors (291920080).

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

213254240 is a wasteful number, since it uses less digits than its factorization.

213254240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3615 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 213254240 is about 14603.2270406236. The cubic root of 213254240 is about 597.4467801550.

The spelling of 213254240 in words is "two hundred thirteen million, two hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 419 838 1676 2095 3181 3352 4190 6362 6704 8380 12724 13408 15905 16760 25448 31810 33520 50896 63620 67040 101792 127240 254480 508960 1332839 2665678 5331356 6664195 10662712 13328390 21325424 26656780 42650848 53313560 106627120 213254240