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213431400224 = 2572932855819
BaseRepresentation
bin1100011011000110000…
…0001011011100100000
3202101220101211111210222
43012301200023130200
511444101414301344
6242014331342212
721264012653150
oct3066140133440
9671811744728
10213431400224
1182574508a69
12354458b1968
1317184ba7883
14a489c66760
1558426dd5ee
hex31b180b720

213431400224 has 48 divisors (see below), whose sum is σ = 496779998400. Its totient is φ = 88316438784.

The previous prime is 213431400157. The next prime is 213431400227. The reversal of 213431400224 is 422004134312.

It is a junction number, because it is equal to n+sod(n) for n = 213431400193 and 213431400202.

It is not an unprimeable number, because it can be changed into a prime (213431400227) 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, 16421414 + ... + 16434405.

It is an arithmetic number, because the mean of its divisors is an integer number (10349583300).

Almost surely, 2213431400224 is an apocalyptic number.

It is an amenable number.

213431400224 is an abundant number, since it is smaller than the sum of its proper divisors (283348598176).

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

213431400224 is a wasteful number, since it uses less digits than its factorization.

213431400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32855865 (or 32855857 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 213431400224 its reverse (422004134312), we get a palindrome (635435534536).

The spelling of 213431400224 in words is "two hundred thirteen billion, four hundred thirty-one million, four hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 6496 32855819 65711638 131423276 229990733 262846552 459981466 525693104 919962932 952818751 1051386208 1839925864 1905637502 3679851728 3811275004 6669731257 7359703456 7622550008 13339462514 15245100016 26678925028 30490200032 53357850056 106715700112 213431400224