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1225444200 = 233524994093
BaseRepresentation
bin100100100001010…
…1100101101101000
310011101220000102020
41021002230231220
510002203203300
6321333304440
742240050421
oct11102545550
93141800366
101225444200
11579805402
122a2495120
13166b62916
14b8a74648
15728b48a0
hex490acb68

1225444200 has 96 divisors (see below), whose sum is σ = 3807420000. Its totient is φ = 326050560.

The previous prime is 1225444147. The next prime is 1225444223. The reversal of 1225444200 is 24445221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297354 + ... + 301446.

It is an arithmetic number, because the mean of its divisors is an integer number (39660625).

Almost surely, 21225444200 is an apocalyptic number.

1225444200 is a gapful number since it is divisible by the number (10) 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 1225444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903710000).

1225444200 is an abundant number, since it is smaller than the sum of its proper divisors (2581975800).

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

1225444200 is a wasteful number, since it uses less digits than its factorization.

1225444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 1225444200 is about 35006.3451391316. The cubic root of 1225444200 is about 1070.1167951234.

Adding to 1225444200 its reverse (24445221), we get a palindrome (1249889421).

The spelling of 1225444200 in words is "one billion, two hundred twenty-five million, four hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 499 600 998 1497 1996 2495 2994 3992 4093 4990 5988 7485 8186 9980 11976 12279 12475 14970 16372 19960 20465 24558 24950 29940 32744 37425 40930 49116 49900 59880 61395 74850 81860 98232 99800 102325 122790 149700 163720 204650 245580 299400 306975 409300 491160 613950 818600 1227900 2042407 2455800 4084814 6127221 8169628 10212035 12254442 16339256 20424070 24508884 30636105 40848140 49017768 51060175 61272210 81696280 102120350 122544420 153180525 204240700 245088840 306361050 408481400 612722100 1225444200