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1225513300 = 22521119191307
BaseRepresentation
bin100100100001011…
…1101100101010100
310011102000112012111
41021002331211110
510002212411200
6321335000404
742240456034
oct11102754524
93142015174
101225513300
11579852310
122a2509104
13166b881cb
14b8a918c4
15728ca0ba
hex490bd954

1225513300 has 144 divisors (see below), whose sum is σ = 3079802880. Its totient is φ = 418608000.

The previous prime is 1225513279. The next prime is 1225513309. The reversal of 1225513300 is 33155221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225513309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3991747 + ... + 3992053.

It is an arithmetic number, because the mean of its divisors is an integer number (21387520).

Almost surely, 21225513300 is an apocalyptic number.

1225513300 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 1225513300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539901440).

1225513300 is an abundant number, since it is smaller than the sum of its proper divisors (1854289580).

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

1225513300 is a wasteful number, since it uses less digits than its factorization.

1225513300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 1225513300 is about 35007.3320891496. The cubic root of 1225513300 is about 1070.1369085595.

Adding to 1225513300 its reverse (33155221), we get a palindrome (1258668521).

The spelling of 1225513300 in words is "one billion, two hundred twenty-five million, five hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 191 209 220 275 307 380 382 418 475 550 614 764 836 950 955 1045 1100 1228 1535 1900 1910 2090 2101 3070 3377 3629 3820 4180 4202 4775 5225 5833 6140 6754 7258 7675 8404 9550 10450 10505 11666 13508 14516 15350 16885 18145 19100 20900 21010 23332 29165 30700 33770 36290 39919 42020 52525 58330 58637 64163 67540 72580 79838 84425 90725 105050 116660 117274 128326 145825 159676 168850 181450 199595 210100 234548 256652 291650 293185 320815 337700 362900 399190 583300 586370 641630 645007 798380 997975 1114103 1172740 1283260 1290014 1465925 1604075 1995950 2228206 2580028 2931850 3208150 3225035 3991900 4456412 5570515 5863700 6416300 6450070 11141030 12255133 12900140 16125175 22282060 24510266 27852575 32250350 49020532 55705150 61275665 64500700 111410300 122551330 245102660 306378325 612756650 1225513300