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213427424 = 2578531117
BaseRepresentation
bin11001011100010…
…10010011100000
3112212121020101102
430232022103200
5414114134144
633102253532
75201050250
oct1456122340
9485536342
10213427424
11aa524201
125b5872a8
13352a8c22
14204b9960
1513b0cb4e
hexcb8a4e0

213427424 has 48 divisors (see below), whose sum is σ = 481205088. Its totient is φ = 91279872.

The previous prime is 213427421. The next prime is 213427439. The reversal of 213427424 is 424724312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213427421) 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, 190514 + ... + 191630.

It is an arithmetic number, because the mean of its divisors is an integer number (10025106).

Almost surely, 2213427424 is an apocalyptic number.

It is an amenable number.

213427424 is an abundant number, since it is smaller than the sum of its proper divisors (267777664).

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

213427424 is a wasteful number, since it uses less digits than its factorization.

213427424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1979 counting only the distinct ones).

The product of its digits is 10752, while the sum is 29.

The square root of 213427424 is about 14609.1554855166. The cubic root of 213427424 is about 597.6084654544.

The spelling of 213427424 in words is "two hundred thirteen million, four hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 853 1117 1706 2234 3412 4468 5971 6824 7819 8936 11942 13648 15638 17872 23884 27296 31276 35744 47768 62552 95536 125104 191072 250208 952801 1905602 3811204 6669607 7622408 13339214 15244816 26678428 30489632 53356856 106713712 213427424