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1412414220 = 223572736581
BaseRepresentation
bin101010000101111…
…1011101100001100
310122102201002001210
41110023323230030
510343034223340
6352052534420
750000215500
oct12413735414
93572632053
101412414220
116652a8788
12335021410
13196807179
14d5824300
1583ee8180
hex542fbb0c

1412414220 has 144 divisors (see below), whose sum is σ = 4664163168. Its totient is φ = 318366720.

The previous prime is 1412414189. The next prime is 1412414243. The reversal of 1412414220 is 224142141.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211330 + ... + 217910.

It is an arithmetic number, because the mean of its divisors is an integer number (32390022).

Almost surely, 21412414220 is an apocalyptic number.

1412414220 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 1412414220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332081584).

1412414220 is an abundant number, since it is smaller than the sum of its proper divisors (3251748948).

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

1412414220 is a wasteful number, since it uses less digits than its factorization.

1412414220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6680 (or 6671 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1412414220 is about 37582.0997284612. The cubic root of 1412414220 is about 1121.9857999417.

Adding to 1412414220 its reverse (224142141), we get a palindrome (1636556361).

The spelling of 1412414220 in words is "one billion, four hundred twelve million, four hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 73 84 98 105 140 146 147 196 210 219 245 292 294 365 420 438 490 511 588 730 735 876 980 1022 1095 1460 1470 1533 2044 2190 2555 2940 3066 3577 4380 5110 6132 6581 7154 7665 10220 10731 13162 14308 15330 17885 19743 21462 26324 30660 32905 35770 39486 42924 46067 53655 65810 71540 78972 92134 98715 107310 131620 138201 184268 197430 214620 230335 276402 322469 394860 460670 480413 552804 644938 691005 921340 960826 967407 1289876 1382010 1441239 1612345 1921652 1934814 2402065 2764020 2882478 3224690 3362891 3869628 4804130 4837035 5764956 6449380 6725782 7206195 9608260 9674070 10088673 13451564 14412390 16814455 19348140 20177346 23540237 28824780 33628910 40354692 47080474 50443365 67257820 70620711 94160948 100886730 117701185 141241422 201773460 235402370 282482844 353103555 470804740 706207110 1412414220