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213102440 = 23529183709
BaseRepresentation
bin11001011001110…
…10111101101000
3112211222201120222
430230322331220
5414023234230
633051305212
75165224625
oct1454727550
9484881528
10213102440
11aa322021
125b44b208
13351c4025
142043334c
1513a966e5
hexcb3af68

213102440 has 32 divisors (see below), whose sum is σ = 496017000. Its totient is φ = 82301184.

The previous prime is 213102437. The next prime is 213102443. The reversal of 213102440 is 44201312.

It is an interprime number because it is at equal distance from previous prime (213102437) and next prime (213102443).

It can be written as a sum of positive squares in 4 ways, for example, as 201583204 + 11519236 = 14198^2 + 3394^2 .

It is not an unprimeable number, because it can be changed into a prime (213102443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90695 + ... + 93014.

Almost surely, 2213102440 is an apocalyptic number.

213102440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213102440 is an abundant number, since it is smaller than the sum of its proper divisors (282914560).

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

213102440 is a wasteful number, since it uses less digits than its factorization.

213102440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183749 (or 183745 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 213102440 is about 14598.0286340314. The cubic root of 213102440 is about 597.3049870402.

Adding to 213102440 its reverse (44201312), we get a palindrome (257303752).

The spelling of 213102440 in words is "two hundred thirteen million, one hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 183709 367418 734836 918545 1469672 1837090 3674180 5327561 7348360 10655122 21310244 26637805 42620488 53275610 106551220 213102440