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1110214420 = 225743223827
BaseRepresentation
bin100001000101100…
…1000011100010100
32212101001201212121
41002023020130110
54233203330140
6302055425324
736340444510
oct10213103424
92771051777
101110214420
1151a761587
1226b985244
13149019013
14a763b140
156770264a
hex422c8714

1110214420 has 96 divisors (see below), whose sum is σ = 2742018048. Its totient is φ = 369677952.

The previous prime is 1110214409. The next prime is 1110214423. The reversal of 1110214420 is 244120111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1110214394 and 1110214403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110214423) 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 31 ways as a sum of consecutive naturals, for example, 1342047 + ... + 1342873.

It is an arithmetic number, because the mean of its divisors is an integer number (28562688).

Almost surely, 21110214420 is an apocalyptic number.

1110214420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371009024).

1110214420 is an abundant number, since it is smaller than the sum of its proper divisors (1631803628).

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

1110214420 is a wasteful number, since it uses less digits than its factorization.

1110214420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1110214420 is about 33319.8802518857. The cubic root of 1110214420 is about 1035.4654708893.

Adding to 1110214420 its reverse (244120111), we get a palindrome (1354334531).

The spelling of 1110214420 in words is "one billion, one hundred ten million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 223 301 430 446 602 827 860 892 1115 1204 1505 1561 1654 2230 3010 3122 3308 4135 4460 5789 6020 6244 7805 8270 9589 11578 15610 16540 19178 23156 28945 31220 35561 38356 47945 57890 67123 71122 95890 115780 134246 142244 177805 184421 191780 248927 268492 335615 355610 368842 497854 671230 711220 737684 922105 995708 1244635 1290947 1342460 1844210 2489270 2581894 3688420 4978540 5163788 6454735 7930103 12909470 15860206 25818940 31720412 39650515 55510721 79301030 111021442 158602060 222042884 277553605 555107210 1110214420