Search a number
-
+
1220552145 = 34517296113
BaseRepresentation
bin100100011000000…
…0010010111010001
310011001200110210000
41020300002113101
54444430132040
6321040400213
742150344031
oct11060022721
93131613700
101220552145
11576a7398a
122a0916069
13165b3c007
14b815d8c1
157224a130
hex48c025d1

1220552145 has 80 divisors (see below), whose sum is σ = 2396932560. Its totient is φ = 591446016.

The previous prime is 1220552107. The next prime is 1220552149. The reversal of 1220552145 is 5412550221.

It can be written as a sum of positive squares in 8 ways, for example, as 16184529 + 1204367616 = 4023^2 + 34704^2 .

It is not a de Polignac number, because 1220552145 - 210 = 1220551121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1220552149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 196609 + ... + 202721.

It is an arithmetic number, because the mean of its divisors is an integer number (29961657).

Almost surely, 21220552145 is an apocalyptic number.

1220552145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1220552145 is a deficient number, since it is larger than the sum of its proper divisors (1176380415).

1220552145 is a wasteful number, since it uses less digits than its factorization.

1220552145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6176 (or 6167 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 1220552145 is about 34936.4014317445. The cubic root of 1220552145 is about 1068.6909034729.

The spelling of 1220552145 in words is "one billion, two hundred twenty million, five hundred fifty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 17 27 29 45 51 81 85 87 135 145 153 255 261 405 435 459 493 765 783 1305 1377 1479 2295 2349 2465 3915 4437 6113 6885 7395 11745 13311 18339 22185 30565 39933 55017 66555 91695 103921 165051 177277 199665 275085 311763 495153 519605 531831 825255 886385 935289 1558815 1595493 2475765 2659155 2805867 3013709 4676445 4786479 7977465 8417601 9041127 14029335 14359437 15068545 23932395 27123381 42088005 45205635 71797185 81370143 135616905 244110429 406850715 1220552145