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1422412020 = 223251392409
BaseRepresentation
bin101010011001000…
…0100100011110100
310200010112000110200
41110302010203310
510403114141040
6353051120500
750151205551
oct12462044364
93603460420
101422412020
1166aa07227
12338443130
131988c7a23
14d6ca7a28
1584d20630
hex54c848f4

1422412020 has 108 divisors (see below), whose sum is σ = 4356539460. Its totient is φ = 375660288.

The previous prime is 1422412003. The next prime is 1422412027. The reversal of 1422412020 is 202142241.

1422412020 is a `hidden beast` number, since 1 + 422 + 41 + 202 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 952216164 + 470195856 = 30858^2 + 21684^2 .

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 = 1422411984 and 1422412002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1422412027) 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 35 ways as a sum of consecutive naturals, for example, 3477576 + ... + 3477984.

Almost surely, 21422412020 is an apocalyptic number.

1422412020 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 1422412020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178269730).

1422412020 is an abundant number, since it is smaller than the sum of its proper divisors (2934127440).

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

1422412020 is a wasteful number, since it uses less digits than its factorization.

1422412020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 558 counting only the distinct ones).

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

The square root of 1422412020 is about 37714.8779661290. The cubic root of 1422412020 is about 1124.6269103581.

Adding to 1422412020 its reverse (202142241), we get a palindrome (1624554261).

It can be divided in two parts, 14224 and 12020, that added together give a square (26244 = 1622).

The spelling of 1422412020 in words is "one billion, four hundred twenty-two million, four hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 409 417 556 695 818 834 1227 1251 1390 1636 1668 2045 2085 2454 2502 2780 3681 4090 4170 4908 5004 6135 6255 7362 8180 8340 12270 12510 14724 18405 19321 24540 25020 36810 38642 56851 57963 73620 77284 96605 113702 115926 170553 173889 193210 227404 231852 284255 289815 341106 347778 386420 511659 568510 579630 682212 695556 852765 869445 1023318 1137020 1159260 1705530 1738890 2046636 2558295 3411060 3477780 5116590 7902289 10233180 15804578 23706867 31609156 39511445 47413734 71120601 79022890 94827468 118534335 142241202 158045780 237068670 284482404 355603005 474137340 711206010 1422412020