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225354162024 = 23323129918917
BaseRepresentation
bin1101000111100000100…
…1111001111101101000
3210112200022121120021100
43101320021321331220
512143011131141044
6251305401441400
722165325525505
oct3217011717550
9715608546240
10225354162024
1187632605412
12378127a0260
1318335038104
14ac9b4da4ac
155cde2a3869
hex3478279f68

225354162024 has 24 divisors (see below), whose sum is σ = 610334189010. Its totient is φ = 75118053984.

The previous prime is 225354161971. The next prime is 225354162029. The reversal of 225354162024 is 420261453522.

225354162024 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 5 + 4 + 1 + 620 + 24 = 666.

225354162024 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., 163068977124 + 62285184900 = 403818^2 + 249570^2 .

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

It is a super-3 number, since 3×2253541620243 (a number of 35 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 225354162024.

It is not an unprimeable number, because it can be changed into a prime (225354162029) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1564959387 + ... + 1564959530.

Almost surely, 2225354162024 is an apocalyptic number.

225354162024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225354162024 is an abundant number, since it is smaller than the sum of its proper divisors (384980026986).

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

225354162024 is a wasteful number, since it uses less digits than its factorization.

225354162024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129918929 (or 3129918922 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 225354162024 in words is "two hundred twenty-five billion, three hundred fifty-four million, one hundred sixty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3129918917 6259837834 9389756751 12519675668 18779513502 25039351336 28169270253 37559027004 56338540506 75118054008 112677081012 225354162024