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216403252 = 221325716193
BaseRepresentation
bin11001110011000…
…00110100110100
3120002012102110021
430321200310310
5420344401002
633250134524
75235253162
oct1471406464
9502172407
10216403252
11101176a6a
1260581444
1335aab580
1420a52232
1513ee9737
hexce60d34

216403252 has 24 divisors (see below), whose sum is σ = 409449096. Its totient is φ = 99483648.

The previous prime is 216403247. The next prime is 216403277. The reversal of 216403252 is 252304612.

It can be written as a sum of positive squares in 4 ways, for example, as 123743376 + 92659876 = 11124^2 + 9626^2 .

216403252 is a modest number, since divided by 3252 gives 2164 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5268 + ... + 21460.

It is an arithmetic number, because the mean of its divisors is an integer number (17060379).

Almost surely, 2216403252 is an apocalyptic number.

It is an amenable number.

216403252 is a deficient number, since it is larger than the sum of its proper divisors (193045844).

216403252 is a wasteful number, since it uses less digits than its factorization.

216403252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16467 (or 16465 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 216403252 is about 14710.6509713201. The cubic root of 216403252 is about 600.3731493660.

Adding to 216403252 its reverse (252304612), we get a palindrome (468707864).

It can be divided in two parts, 2164032 and 52, that multiplied together give a square (112529664 = 106082).

The spelling of 216403252 in words is "two hundred sixteen million, four hundred three thousand, two hundred fifty-two".

Divisors: 1 2 4 13 26 52 257 514 1028 3341 6682 13364 16193 32386 64772 210509 421018 842036 4161601 8323202 16646404 54100813 108201626 216403252