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1456056225 = 3252132831759
BaseRepresentation
bin101011011001001…
…1010011110100001
310202110211022122100
41112302122132201
510440222244400
6400252201013
751040162611
oct12662323641
93673738570
101456056225
116879a6658
12347769169
131a2877640
14db544a41
1587c69100
hex56c9a7a1

1456056225 has 72 divisors (see below), whose sum is σ = 2820097280. Its totient is φ = 713888640.

The previous prime is 1456056209. The next prime is 1456056289. The reversal of 1456056225 is 5226506541.

1456056225 is a `hidden beast` number, since 1 + 45 + 605 + 6 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 1456056225 - 24 = 1456056209 is a prime.

It is a super-2 number, since 2×14560562252 = 4240199460722501250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1456056225.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 826896 + ... + 828654.

Almost surely, 21456056225 is an apocalyptic number.

1456056225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1456056225 is a deficient number, since it is larger than the sum of its proper divisors (1364041055).

1456056225 is a wasteful number, since it uses less digits than its factorization.

1456056225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 1456056225 is about 38158.3047972522. The cubic root of 1456056225 is about 1133.4248107150.

The spelling of 1456056225 in words is "one billion, four hundred fifty-six million, fifty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 283 325 585 849 975 1415 1759 2547 2925 3679 4245 5277 7075 8795 11037 12735 15831 18395 21225 22867 26385 33111 43975 55185 63675 68601 79155 91975 114335 131925 165555 205803 275925 343005 395775 497797 571675 827775 1029015 1493391 1715025 2488985 4480173 5145075 6471361 7466955 12444925 19414083 22400865 32356805 37334775 58242249 97070415 112004325 161784025 291211245 485352075 1456056225