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224135552232 = 23323112993781
BaseRepresentation
bin1101000010111110000…
…1010001110011101000
3210102112101120202220100
43100233201101303220
512133012200132412
6250544430425400
722123200521334
oct3205741216350
9712471522810
10224135552232
1187067748889
1237532662260
131819c729227
14abc37247c4
155c6c2ddedc
hex342f851ce8

224135552232 has 24 divisors (see below), whose sum is σ = 607033787490. Its totient is φ = 74711850720.

The previous prime is 224135552213. The next prime is 224135552279. The reversal of 224135552232 is 232255531422.

It is a happy number.

224135552232 is a `hidden beast` number, since 2 + 2 + 41 + 35 + 552 + 2 + 32 = 666.

224135552232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 207493004196 + 16642548036 = 455514^2 + 129006^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1556496819 + ... + 1556496962.

Almost surely, 2224135552232 is an apocalyptic number.

It is an amenable number.

224135552232 is an abundant number, since it is smaller than the sum of its proper divisors (382898235258).

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

224135552232 is a wasteful number, since it uses less digits than its factorization.

224135552232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112993793 (or 3112993786 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The spelling of 224135552232 in words is "two hundred twenty-four billion, one hundred thirty-five million, five hundred fifty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3112993781 6225987562 9338981343 12451975124 18677962686 24903950248 28016944029 37355925372 56033888058 74711850744 112067776116 224135552232