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1220440221 = 3271113135469
BaseRepresentation
bin100100010111110…
…0111000010011101
310011001110210020200
41020233213002131
54444413041341
6321034134113
742146366520
oct11057470235
93131423220
101220440221
115769a7890
122a0881339
13165b000a0
14b8130bb7
1572226db6
hex48be709d

1220440221 has 48 divisors (see below), whose sum is σ = 2366931840. Its totient is φ = 585221760.

The previous prime is 1220440201. The next prime is 1220440231.

1220440221 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 440 + 221 = 666.

1220440221 is nontrivially palindromic in base 10.

1220440221 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1220440221 - 25 = 1220440189 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1220440194 and 1220440203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220440201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58726 + ... + 76743.

It is an arithmetic number, because the mean of its divisors is an integer number (49311080).

Almost surely, 21220440221 is an apocalyptic number.

1220440221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1220440221 is a deficient number, since it is larger than the sum of its proper divisors (1146491619).

1220440221 is a wasteful number, since it uses less digits than its factorization.

1220440221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135506 (or 135503 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1220440221 is about 34934.7995700562. The cubic root of 1220440221 is about 1068.6582363401.

It can be divided in two parts, 12204 and 40221, that added together give a palindrome (52425).

The spelling of 1220440221 in words is "one billion, two hundred twenty million, four hundred forty thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 135469 406407 948283 1219221 1490159 1761097 2844849 4470477 5283291 8534547 10431113 12327679 13411431 15849873 19372067 31293339 36983037 58116201 93880017 110949111 135604469 174348603 406813407 1220440221