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4225044400 = 245217959009
BaseRepresentation
bin1111101111010101…
…0000111110110000
3101220110011111022221
43323311100332300
532123102410100
61535125210424
7206462166463
oct37365207660
911813144287
104225044400
111878a22435
1299ab60a14
13524437195
142c11b52da
1519adca01a
hexfbd50fb0

4225044400 has 60 divisors (see below), whose sum is σ = 10207549800. Its totient is φ = 1680547840.

The previous prime is 4225044371. The next prime is 4225044469. The reversal of 4225044400 is 44405224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42096 + ... + 101104.

It is an arithmetic number, because the mean of its divisors is an integer number (170125830).

Almost surely, 24225044400 is an apocalyptic number.

4225044400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4225044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5103774900).

4225044400 is an abundant number, since it is smaller than the sum of its proper divisors (5982505400).

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

4225044400 is a wasteful number, since it uses less digits than its factorization.

4225044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59206 (or 59195 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 4225044400 is about 65000.3415375642. The cubic root of 4225044400 is about 1616.6292255237.

Adding to 4225044400 its reverse (44405224), we get a palindrome (4269449624).

The spelling of 4225044400 in words is "four billion, two hundred twenty-five million, forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 179 200 358 400 716 895 1432 1790 2864 3580 4475 7160 8950 14320 17900 35800 59009 71600 118018 236036 295045 472072 590090 944144 1180180 1475225 2360360 2950450 4720720 5900900 10562611 11801800 21125222 23603600 42250444 52813055 84500888 105626110 169001776 211252220 264065275 422504440 528130550 845008880 1056261100 2112522200 4225044400