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1422410010 = 235779831033
BaseRepresentation
bin101010011001000…
…0100000100011010
310200010111220201020
41110302010010122
510403114110020
6353051103310
750151166650
oct12462040432
93603456636
101422410010
1166aa0576a
12338441b36
131988c6b38
14d6ca6dd0
1584d1ec40
hex54c8411a

1422410010 has 128 divisors (see below), whose sum is σ = 4002324480. Its totient is φ = 316832256.

The previous prime is 1422409993. The next prime is 1422410023. The reversal of 1422410010 is 100142241.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1376454 + ... + 1377486.

It is an arithmetic number, because the mean of its divisors is an integer number (31268160).

Almost surely, 21422410010 is an apocalyptic number.

1422410010 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 1422410010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001162240).

1422410010 is an abundant number, since it is smaller than the sum of its proper divisors (2579914470).

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

1422410010 is a wasteful number, since it uses less digits than its factorization.

1422410010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1422410010 is about 37714.8513188107. The cubic root of 1422410010 is about 1124.6263806238.

Adding to 1422410010 its reverse (100142241), we get a palindrome (1522552251).

Subtracting from 1422410010 its reverse (100142241), we obtain a square (1322267769 = 363632).

The spelling of 1422410010 in words is "one billion, four hundred twenty-two million, four hundred ten thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 79 83 105 158 166 210 237 249 395 415 474 498 553 581 790 830 1033 1106 1162 1185 1245 1659 1743 2066 2370 2490 2765 2905 3099 3318 3486 5165 5530 5810 6198 6557 7231 8295 8715 10330 13114 14462 15495 16590 17430 19671 21693 30990 32785 36155 39342 43386 45899 65570 72310 81607 85739 91798 98355 108465 137697 163214 171478 196710 216930 229495 244821 257217 275394 408035 428695 458990 489642 514434 571249 600173 688485 816070 857390 1142498 1200346 1224105 1286085 1376970 1713747 1800519 2448210 2572170 2856245 3000865 3427494 3601038 5712490 6001730 6773381 8568735 9002595 13546762 17137470 18005190 20320143 33866905 40640286 47413667 67733810 94827334 101600715 142241001 203201430 237068335 284482002 474136670 711205005 1422410010