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1225140004 = 22112372432
BaseRepresentation
bin100100100000110…
…0010011100100100
310011101022120010201
41021001202130210
510002113440004
6321323000244
742234342514
oct11101423444
93141276121
101225140004
11579617900
122a2369084
13166a8731a
14b89d5844
15728546a4
hex49062724

1225140004 has 81 divisors (see below), whose sum is σ = 2479672881. Its totient is φ = 529230240.

The previous prime is 1225139977. The next prime is 1225140013. The reversal of 1225140004 is 4000415221.

The square root of 1225140004 is 35002.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1096272100 + 128867904 = 33110^2 + 11352^2 .

It is a super-2 number, since 2×12251400042 = 3001936058802240032, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 28491607 + ... + 28491649.

Almost surely, 21225140004 is an apocalyptic number.

1225140004 is the 35002-nd square number.

It is an amenable number.

1225140004 is an abundant number, since it is smaller than the sum of its proper divisors (1254532877).

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

1225140004 is a wasteful number, since it uses less digits than its factorization.

1225140004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The cubic root of 1225140004 is about 1070.0282416047.

Adding to 1225140004 its reverse (4000415221), we get a palindrome (5225555225).

The spelling of 1225140004 in words is "one billion, two hundred twenty-five million, one hundred forty thousand, four".

Divisors: 1 2 4 11 22 37 43 44 74 86 121 148 172 242 407 473 484 814 946 1369 1591 1628 1849 1892 2738 3182 3698 4477 5203 5476 6364 7396 8954 10406 15059 17501 17908 20339 20812 30118 35002 40678 58867 60236 68413 70004 81356 117734 136826 165649 192511 223729 235468 273652 331298 385022 447458 647537 662596 752543 770044 894916 1295074 1505086 2531281 2590148 3010172 5062562 7122907 8277973 10125124 14245814 16555946 27844091 28491628 33111892 55688182 111376364 306285001 612570002 1225140004