Search a number
-
+
2253473424 = 243215649121
BaseRepresentation
bin1000011001010001…
…0100011010010000
312211001022022101200
42012110110122100
514103342122144
61011335431200
7106562131236
oct20624243220
95731268350
102253473424
11a57032a34
1252a825500
1329bb34a37
141753da956
15d2c80c69
hex86514690

2253473424 has 30 divisors (see below), whose sum is σ = 6306596166. Its totient is φ = 751157760.

The previous prime is 2253473399. The next prime is 2253473441. The reversal of 2253473424 is 4243743522.

2253473424 is a `hidden beast` number, since 225 + 3 + 4 + 7 + 3 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2014214400 + 239259024 = 44880^2 + 15468^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7824417 + ... + 7824704.

Almost surely, 22253473424 is an apocalyptic number.

2253473424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2253473424 is an abundant number, since it is smaller than the sum of its proper divisors (4053122742).

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

2253473424 is a wasteful number, since it uses less digits than its factorization.

2253473424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15649135 (or 15649126 counting only the distinct ones).

The product of its digits is 161280, while the sum is 36.

The square root of 2253473424 is about 47470.7638868388. The cubic root of 2253473424 is about 1311.0446427240.

The spelling of 2253473424 in words is "two billion, two hundred fifty-three million, four hundred seventy-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 15649121 31298242 46947363 62596484 93894726 125192968 140842089 187789452 250385936 281684178 375578904 563368356 751157808 1126736712 2253473424