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1220135264 = 25165723011
BaseRepresentation
bin100100010111001…
…1100100101100000
310011000220021220222
41020232130211200
54444323312024
6321023422212
742143656445
oct11056344540
93130807828
101220135264
11576809757
122a0754968
13165a2433a
14b80919cc
15721b685e
hex48b9c960

1220135264 has 24 divisors (see below), whose sum is σ = 2403695448. Its totient is φ = 609672960.

The previous prime is 1220135263. The next prime is 1220135297. The reversal of 1220135264 is 4625310221.

It is a happy number.

It is a super-3 number, since 3×12201352643 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220135261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41519 + ... + 64529.

It is an arithmetic number, because the mean of its divisors is an integer number (100153977).

Almost surely, 21220135264 is an apocalyptic number.

It is an amenable number.

1220135264 is a deficient number, since it is larger than the sum of its proper divisors (1183560184).

1220135264 is a wasteful number, since it uses less digits than its factorization.

1220135264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24678 (or 24670 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1220135264 is about 34930.4346380059. The cubic root of 1220135264 is about 1068.5692187456.

Adding to 1220135264 its reverse (4625310221), we get a palindrome (5845445485).

The spelling of 1220135264 in words is "one billion, two hundred twenty million, one hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 1657 3314 6628 13256 23011 26512 46022 53024 92044 184088 368176 736352 38129227 76258454 152516908 305033816 610067632 1220135264