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1422103140 = 2232537673187
BaseRepresentation
bin101010011000011…
…1001001001100100
310200002221022202200
41110300321021210
510403024300030
6353040334500
750145451203
oct12460711144
93602838680
101422103140
1166a816157
12338314430
1319881a263
14d6c2723a
1584cadd60
hex54c39264

1422103140 has 144 divisors (see below), whose sum is σ = 4497834432. Its totient is φ = 363356928.

The previous prime is 1422103121. The next prime is 1422103141. The reversal of 1422103140 is 413012241.

1422103140 is a `hidden beast` number, since 1 + 422 + 103 + 140 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1422103141) 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, 444627 + ... + 447813.

Almost surely, 21422103140 is an apocalyptic number.

1422103140 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 1422103140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248917216).

1422103140 is an abundant number, since it is smaller than the sum of its proper divisors (3075731292).

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

1422103140 is a wasteful number, since it uses less digits than its factorization.

1422103140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1422103140 is about 37710.7828081041. The cubic root of 1422103140 is about 1124.5454993692.

Adding to 1422103140 its reverse (413012241), we get a palindrome (1835115381).

The spelling of 1422103140 in words is "one billion, four hundred twenty-two million, one hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 67 74 90 111 134 148 180 185 201 222 268 333 335 370 402 444 555 603 666 670 740 804 1005 1110 1206 1332 1340 1665 2010 2220 2412 2479 3015 3187 3330 4020 4958 6030 6374 6660 7437 9561 9916 12060 12395 12748 14874 15935 19122 22311 24790 28683 29748 31870 37185 38244 44622 47805 49580 57366 63740 74370 89244 95610 111555 114732 117919 143415 148740 191220 213529 223110 235838 286830 353757 427058 446220 471676 573660 589595 640587 707514 854116 1061271 1067645 1179190 1281174 1415028 1768785 1921761 2122542 2135290 2358380 2562348 3202935 3537570 3843522 4245084 4270580 5306355 6405870 7075140 7687044 7900573 9608805 10612710 12811740 15801146 19217610 21225420 23701719 31602292 38435220 39502865 47403438 71105157 79005730 94806876 118508595 142210314 158011460 237017190 284420628 355525785 474034380 711051570 1422103140