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4213132224 = 26373134771
BaseRepresentation
bin1111101100011111…
…0100101111000000
3101212121202021220020
43323013310233000
532112030212344
61534022013440
7206256014220
oct37307645700
911777667806
104213132224
111872226664
12996b77280
13521b26162
142bd794080
15199d25719
hexfb1f4bc0

4213132224 has 56 divisors (see below), whose sum is σ = 12739713408. Its totient is φ = 1203751680.

The previous prime is 4213132223. The next prime is 4213132229. The reversal of 4213132224 is 4222313124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4213132194 and 4213132203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213132223) 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, 1566042 + ... + 1568729.

Almost surely, 24213132224 is an apocalyptic number.

It is an amenable number.

4213132224 is an abundant number, since it is smaller than the sum of its proper divisors (8526581184).

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

4213132224 is a wasteful number, since it uses less digits than its factorization.

4213132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134793 (or 3134783 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 4213132224 is about 64908.6452177212. The cubic root of 4213132224 is about 1615.1084763248.

Adding to 4213132224 its reverse (4222313124), we get a palindrome (8435445348).

Subtracting 4213132224 from its reverse (4222313124), we obtain a square (9180900 = 30302).

The spelling of 4213132224 in words is "four billion, two hundred thirteen million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 3134771 6269542 9404313 12539084 18808626 21943397 25078168 37617252 43886794 50156336 65830191 75234504 87773588 100312672 131660382 150469008 175547176 200625344 263320764 300938016 351094352 526641528 601876032 702188704 1053283056 1404377408 2106566112 4213132224