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45124220 = 2253173997
BaseRepresentation
bin1010110000100…
…0101001111100
310010220112210102
42230020221330
543022433340
64251100232
71055356331
oct254105174
9103815712
1045124220
1123520549
1213141678
13946c02b
145dc8988
153e65215
hex2b08a7c

45124220 has 48 divisors (see below), whose sum is σ = 99257088. Its totient is φ = 17210880.

The previous prime is 45124217. The next prime is 45124223. The reversal of 45124220 is 2242154.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45124217) and next prime (45124223).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 45124192 and 45124201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45124223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44762 + ... + 45758.

It is an arithmetic number, because the mean of its divisors is an integer number (2067856).

Almost surely, 245124220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45124220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49628544).

45124220 is an abundant number, since it is smaller than the sum of its proper divisors (54132868).

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

45124220 is a wasteful number, since it uses less digits than its factorization.

45124220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 45124220 is about 6717.4563638330. The cubic root of 45124220 is about 356.0163166363.

Adding to 45124220 its reverse (2242154), we get a palindrome (47366374).

The spelling of 45124220 in words is "forty-five million, one hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 73 124 146 155 292 310 365 620 730 997 1460 1994 2263 3988 4526 4985 9052 9970 11315 19940 22630 30907 45260 61814 72781 123628 145562 154535 291124 309070 363905 618140 727810 1455620 2256211 4512422 9024844 11281055 22562110 45124220