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213442140 = 223517209257
BaseRepresentation
bin11001011100011…
…01111001011100
3112212121222120110
430232031321130
5414120122030
633102450020
75201141202
oct1456157134
9485558513
10213442140
11aa53426a
125b593910
13352b2832
14204c1072
1513b121b0
hexcb8de5c

213442140 has 48 divisors (see below), whose sum is σ = 632796192. Its totient is φ = 53569536.

The previous prime is 213442091. The next prime is 213442147. The reversal of 213442140 is 41244312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213442147) 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, 103609 + ... + 105648.

It is an arithmetic number, because the mean of its divisors is an integer number (13183254).

Almost surely, 2213442140 is an apocalyptic number.

213442140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213442140 is an abundant number, since it is smaller than the sum of its proper divisors (419354052).

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

213442140 is a wasteful number, since it uses less digits than its factorization.

213442140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209286 (or 209284 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 213442140 is about 14609.6591336006. The cubic root of 213442140 is about 597.6222003405.

Adding to 213442140 its reverse (41244312), we get a palindrome (254686452).

The spelling of 213442140 in words is "two hundred thirteen million, four hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 209257 418514 627771 837028 1046285 1255542 2092570 2511084 3138855 3557369 4185140 6277710 7114738 10672107 12555420 14229476 17786845 21344214 35573690 42688428 53360535 71147380 106721070 213442140