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1225324100 = 22527111312241
BaseRepresentation
bin100100100001000…
…1111011001000100
310011101122220200002
41021002033121010
510002140332400
6321330540432
742236040320
oct11102173104
93141586602
101225324100
11579733150
122a2437718
13166b20060
14b8a42980
157288ded5
hex4908f644

1225324100 has 144 divisors (see below), whose sum is σ = 3570354816. Its totient is φ = 352512000.

The previous prime is 1225324039. The next prime is 1225324151. The reversal of 1225324100 is 14235221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93980 + ... + 106220.

Almost surely, 21225324100 is an apocalyptic number.

1225324100 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 1225324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785177408).

1225324100 is an abundant number, since it is smaller than the sum of its proper divisors (2345030716).

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

1225324100 is a wasteful number, since it uses less digits than its factorization.

1225324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12286 (or 12279 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1225324100 is about 35004.6296937991. The cubic root of 1225324100 is about 1070.0818349498.

Adding to 1225324100 its reverse (14235221), we get a palindrome (1239559321).

The spelling of 1225324100 in words is "one billion, two hundred twenty-five million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 12241 14300 20020 24482 25025 48964 50050 61205 85687 100100 122410 134651 159133 171374 244820 269302 306025 318266 342748 428435 538604 612050 636532 673255 795665 856870 942557 1113931 1224100 1346510 1591330 1713740 1750463 1885114 2142175 2227862 2693020 3182660 3366275 3500926 3770228 3978325 4284350 4455724 4712785 5569655 6732550 7001852 7956650 8568700 8752315 9425570 11139310 12253241 13465100 15913300 17504630 18851140 22278620 23563925 24506482 27848275 35009260 43761575 47127850 49012964 55696550 61266205 87523150 94255700 111393100 122532410 175046300 245064820 306331025 612662050 1225324100