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213253520 = 2452665669
BaseRepresentation
bin11001011010111…
…11110110010000
3112212021101211112
430231133312100
5414043103040
633054432452
75166424244
oct1455376620
9485241745
10213253520
11aa415587
125b502728
1335247a1c
1420472424
1513ac6365
hexcb5fd90

213253520 has 20 divisors (see below), whose sum is σ = 495814620. Its totient is φ = 85301376.

The previous prime is 213253519. The next prime is 213253531. The reversal of 213253520 is 25352312.

It can be written as a sum of positive squares in 2 ways, for example, as 107081104 + 106172416 = 10348^2 + 10304^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1332755 + ... + 1332914.

It is an arithmetic number, because the mean of its divisors is an integer number (24790731).

Almost surely, 2213253520 is an apocalyptic number.

213253520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213253520 is an abundant number, since it is smaller than the sum of its proper divisors (282561100).

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

213253520 is a wasteful number, since it uses less digits than its factorization.

213253520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665682 (or 2665676 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 213253520 is about 14603.2023885174. The cubic root of 213253520 is about 597.4461077774.

The spelling of 213253520 in words is "two hundred thirteen million, two hundred fifty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2665669 5331338 10662676 13328345 21325352 26656690 42650704 53313380 106626760 213253520