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1225454040 = 2332513724847
BaseRepresentation
bin100100100001010…
…1111000111011000
310011101220111220200
41021002233013120
510002204012130
6321333422200
742240121206
oct11102570730
93141814820
101225454040
11579811838
122a249a960
13166b67245
14b8a78076
15728b7760
hex490af1d8

1225454040 has 96 divisors (see below), whose sum is σ = 4011958080. Its totient is φ = 324389376.

The previous prime is 1225454017. The next prime is 1225454051. The reversal of 1225454040 is 404545221.

1225454040 is a `hidden beast` number, since 1 + 2 + 254 + 5 + 404 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1225453995 and 1225454013.

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, 36897 + ... + 61743.

It is an arithmetic number, because the mean of its divisors is an integer number (41791230).

Almost surely, 21225454040 is an apocalyptic number.

1225454040 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 1225454040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005979040).

1225454040 is an abundant number, since it is smaller than the sum of its proper divisors (2786504040).

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

1225454040 is a wasteful number, since it uses less digits than its factorization.

1225454040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25001 (or 24994 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 1225454040 is about 35006.4856847985. The cubic root of 1225454040 is about 1070.1196593695.

Adding to 1225454040 its reverse (404545221), we get a palindrome (1629999261).

The spelling of 1225454040 in words is "one billion, two hundred twenty-five million, four hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 137 180 274 360 411 548 685 822 1096 1233 1370 1644 2055 2466 2740 3288 4110 4932 5480 6165 8220 9864 12330 16440 24660 24847 49320 49694 74541 99388 124235 149082 198776 223623 248470 298164 372705 447246 496940 596328 745410 894492 993880 1118115 1490820 1788984 2236230 2981640 3404039 4472460 6808078 8944920 10212117 13616156 17020195 20424234 27232312 30636351 34040390 40848468 51060585 61272702 68080780 81696936 102121170 122545404 136161560 153181755 204242340 245090808 306363510 408484680 612727020 1225454040