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1221665368 = 237112296217
BaseRepresentation
bin100100011010001…
…0010001001011000
310011010210000211111
41020310102021120
510000221242433
6321120310104
742162661420
oct11064221130
93133700744
101221665368
11577664300
122a1172334
1316613b921
14b836d480
15723b9dcd
hex48d12258

1221665368 has 96 divisors (see below), whose sum is σ = 2977178400. Its totient is φ = 459486720.

The previous prime is 1221665299. The next prime is 1221665369. The reversal of 1221665368 is 8635661221.

It is a self number, because there is not a number n which added to its sum of digits gives 1221665368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221665369) 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 23 ways as a sum of consecutive naturals, for example, 193396 + ... + 199612.

It is an arithmetic number, because the mean of its divisors is an integer number (31012275).

Almost surely, 21221665368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221665368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488589200).

1221665368 is an abundant number, since it is smaller than the sum of its proper divisors (1755513032).

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

1221665368 is a wasteful number, since it uses less digits than its factorization.

1221665368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6281 (or 6266 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 1221665368 is about 34952.3299366437. The cubic root of 1221665368 is about 1069.0157099657.

The spelling of 1221665368 in words is "one billion, two hundred twenty-one million, six hundred sixty-five thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 77 88 116 121 154 203 232 242 308 319 406 484 616 638 812 847 968 1276 1624 1694 2233 2552 3388 3509 4466 6217 6776 7018 8932 12434 14036 17864 24563 24868 28072 43519 49126 49736 68387 87038 98252 136774 174076 180293 196504 273548 348152 360586 478709 547096 721172 752257 957418 1262051 1442344 1504514 1914836 1983223 2524102 3009028 3829672 3966446 5048204 5265799 6018056 7932892 10096408 10531598 13882561 15865784 21063196 21815453 27765122 42126392 43630906 55530244 87261812 111060488 152708171 174523624 305416342 610832684 1221665368