Search a number
-
+
225060514451505 = 33517349863325597
BaseRepresentation
bin110011001011000011111100…
…000001000101000000110001
31002111212120112012211100012000
4303023003330001011000301
5213444342413144422010
62114355212322524213
765256041232423105
oct6313037401050061
91074776465740160
10225060514451505
11657906a0101a37
12212aa29ab06669
139877166838c15
143d80db6555905
151b045191197c0
hexccb0fc045031

225060514451505 has 128 divisors (see below), whose sum is σ = 425350808064000. Its totient is φ = 112516975521792.

The previous prime is 225060514451483. The next prime is 225060514451651. The reversal of 225060514451505 is 505154415060522.

It is a happy number.

225060514451505 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 6 + 0 + 51 + 44 + 51 + 505 = 666.

It is not a de Polignac number, because 225060514451505 - 28 = 225060514451249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 691061367 + ... + 691386963.

It is an arithmetic number, because the mean of its divisors is an integer number (3323053188000).

Almost surely, 2225060514451505 is an apocalyptic number.

It is an amenable number.

225060514451505 is a deficient number, since it is larger than the sum of its proper divisors (200290293612495).

225060514451505 is a wasteful number, since it uses less digits than its factorization.

225060514451505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326840 (or 326834 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

The spelling of 225060514451505 in words is "two hundred twenty-five trillion, sixty billion, five hundred fourteen million, four hundred fifty-one thousand, five hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 255 349 459 765 863 1047 1745 2295 2589 3141 4315 5235 5933 7767 9423 12945 14671 15705 17799 23301 29665 38835 44013 47115 53397 73355 88995 116505 132039 160191 220065 266985 301187 325597 396117 660195 800955 903561 976791 1505935 1627985 1980585 2710683 2930373 4517805 4883955 5120179 5535149 8132049 8791119 13553415 14651865 15360537 16605447 25600895 27675745 40660245 43955595 46081611 49816341 76802685 83027235 113633353 138244833 149449023 230408055 249081705 280990211 340900059 568166765 691224165 747245115 842970633 1022700177 1404951055 1704500295 1931767001 2528911899 3068100531 4214853165 4776833587 5113500885 5795301003 7586735697 9658835005 12644559495 14330500761 15340502655 17385903009 23884167935 28976505015 37933678485 42991502283 52157709027 71652503805 86929515045 98065583639 128974506849 214957511415 260788545135 294196750917 490327918195 644872534245 882590252751 1470983754585 1667114921863 2647770758253 4412951263755 5001344765589 8335574609315 13238853791265 15004034296767 25006723827945 45012102890301 75020171483835 225060514451505