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1225064500 = 225311220249
BaseRepresentation
bin100100100000101…
…0000000000110100
310011101011201120021
41021001100000310
510002104031000
6321321214524
742233606422
oct11101200064
93141151507
101225064500
11579576100
122a2331444
13166a5bb4a
14b89b6112
157283c11a
hex49050034

1225064500 has 72 divisors (see below), whose sum is σ = 2941029000. Its totient is φ = 445456000.

The previous prime is 1225064471. The next prime is 1225064513. The reversal of 1225064500 is 54605221.

It can be written as a sum of positive squares in 4 ways, for example, as 120033936 + 1105030564 = 10956^2 + 33242^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50376 + ... + 70624.

It is an arithmetic number, because the mean of its divisors is an integer number (40847625).

Almost surely, 21225064500 is an apocalyptic number.

1225064500 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 1225064500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470514500).

1225064500 is an abundant number, since it is smaller than the sum of its proper divisors (1715964500).

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

1225064500 is a wasteful number, since it uses less digits than its factorization.

1225064500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20290 (or 20267 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 1225064500 is about 35000.9214164427. The cubic root of 1225064500 is about 1070.0062596076.

Adding to 1225064500 its reverse (54605221), we get a palindrome (1279669721).

The spelling of 1225064500 in words is "one billion, two hundred twenty-five million, sixty-four thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 125 220 242 250 275 484 500 550 605 1100 1210 1375 2420 2750 3025 5500 6050 12100 15125 20249 30250 40498 60500 80996 101245 202490 222739 404980 445478 506225 890956 1012450 1113695 2024900 2227390 2450129 2531125 4454780 4900258 5062250 5568475 9800516 10124500 11136950 12250645 22273900 24501290 27842375 49002580 55684750 61253225 111369500 122506450 245012900 306266125 612532250 1225064500