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1220314110 = 235475914669
BaseRepresentation
bin100100010111100…
…1000001111111110
310011001020101020220
41020233020033332
54444400022420
6321031322210
742145333041
oct11057101776
93131211226
101220314110
11576921064
122a0820366
13165a87872
14b80dac58
15721ee840
hex48bc83fe

1220314110 has 64 divisors (see below), whose sum is σ = 3041971200. Its totient is φ = 313073792.

The previous prime is 1220314097. The next prime is 1220314153. The reversal of 1220314110 is 114130221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1220314110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75856 + ... + 90524.

It is an arithmetic number, because the mean of its divisors is an integer number (47530800).

Almost surely, 21220314110 is an apocalyptic number.

1220314110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220314110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520985600).

1220314110 is an abundant number, since it is smaller than the sum of its proper divisors (1821657090).

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

1220314110 is a wasteful number, since it uses less digits than its factorization.

1220314110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14785.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1220314110 is about 34932.9945753295. The cubic root of 1220314110 is about 1068.6214260703.

Adding to 1220314110 its reverse (114130221), we get a palindrome (1334444331).

The spelling of 1220314110 in words is "one billion, two hundred twenty million, three hundred fourteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 59 94 118 141 177 235 282 295 354 470 590 705 885 1410 1770 2773 5546 8319 13865 14669 16638 27730 29338 41595 44007 73345 83190 88014 146690 220035 440070 689443 865471 1378886 1730942 2068329 2596413 3447215 4136658 4327355 5192826 6894430 8654710 10341645 12982065 20683290 25964130 40677137 81354274 122031411 203385685 244062822 406771370 610157055 1220314110