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1422401220 = 2232517716547
BaseRepresentation
bin101010011001000…
…0001111011000100
310200010111110122200
41110302001323010
510403113314340
6353050554500
750151132222
oct12462017304
93603443580
101422401220
1166a9aa0a9
12338438a30
131988c2b36
14d6ca3b12
1584d1c330
hex54c81ec4

1422401220 has 144 divisors (see below), whose sum is σ = 4633469568. Its totient is φ = 351912960.

The previous prime is 1422401207. The next prime is 1422401221. The reversal of 1422401220 is 221042241.

1422401220 is a `hidden beast` number, since 1 + 42 + 2 + 401 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1422401193 and 1422401202.

It is not an unprimeable number, because it can be changed into a prime (1422401221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213987 + ... + 220533.

It is an arithmetic number, because the mean of its divisors is an integer number (32176872).

Almost surely, 21422401220 is an apocalyptic number.

1422401220 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 1422401220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316734784).

1422401220 is an abundant number, since it is smaller than the sum of its proper divisors (3211068348).

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

1422401220 is a wasteful number, since it uses less digits than its factorization.

1422401220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6650 (or 6645 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1422401220 is about 37714.7347862874. The cubic root of 1422401220 is about 1124.6240640189.

Adding to 1422401220 its reverse (221042241), we get a palindrome (1643443461).

The spelling of 1422401220 in words is "one billion, four hundred twenty-two million, four hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 71 85 90 102 142 153 170 180 204 213 255 284 306 340 355 426 510 612 639 710 765 852 1020 1065 1207 1278 1420 1530 2130 2414 2556 3060 3195 3621 4260 4828 6035 6390 6547 7242 10863 12070 12780 13094 14484 18105 19641 21726 24140 26188 32735 36210 39282 43452 54315 58923 65470 72420 78564 98205 108630 111299 117846 130940 196410 217260 222598 235692 294615 333897 392820 445196 464837 556495 589230 667794 929674 1001691 1112990 1178460 1335588 1394511 1669485 1859348 2003382 2225980 2324185 2789022 3338970 4006764 4183533 4648370 5008455 5578044 6677940 6972555 7902229 8367066 9296740 10016910 13945110 15804458 16734132 20033820 20917665 23706687 27890220 31608916 39511145 41835330 47413374 71120061 79022290 83670660 94826748 118533435 142240122 158044580 237066870 284480244 355600305 474133740 711200610 1422401220