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1220593969 = 74232312
BaseRepresentation
bin100100011000000…
…1100100100110001
310011001202121011001
41020300030210301
54444433001334
6321041322001
742150610000
oct11060144461
93131677131
101220593969
11576aa2351
122a0936301
13165b5506a
14b8170c37
1572257714
hex48c0c931

1220593969 has 45 divisors (see below), whose sum is σ = 1538110329. Its totient is φ = 968453640.

The previous prime is 1220593943. The next prime is 1220593987. The reversal of 1220593969 is 9693950221.

The square root of 1220593969 is 34937.

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

It is not a de Polignac number, because 1220593969 - 29 = 1220593457 is a prime.

It is a super-2 number, since 2×12205939692 = 2979699274318345922, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1220593909) 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 44 ways as a sum of consecutive naturals, for example, 39373984 + ... + 39374014.

Almost surely, 21220593969 is an apocalyptic number.

1220593969 is the 34937-th square number.

1220593969 is the 17469-th centered octagonal number.

It is an amenable number.

1220593969 is a deficient number, since it is larger than the sum of its proper divisors (317516360).

1220593969 is an frugal number, since it uses more digits than its factorization.

1220593969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 46.

The cubic root of 1220593969 is about 1068.7031100844.

The spelling of 1220593969 in words is "one billion, two hundred twenty million, five hundred ninety-three thousand, nine hundred sixty-nine".

Divisors: 1 7 23 31 49 161 217 343 529 713 961 1127 1519 2401 3703 4991 6727 7889 10633 16399 22103 25921 34937 47089 55223 74431 114793 154721 181447 244559 329623 508369 803551 1083047 1270129 1711913 2307361 3558583 5624857 7581329 24910081 39373999 53069303 174370567 1220593969