Search a number
-
+
1422124440 = 23351110110667
BaseRepresentation
bin101010011000011…
…1110010110011000
310200002222101222120
41110300332112120
510403030440230
6353041021240
750145600252
oct12460762630
93602871876
101422124440
1166a830160
12338324820
13198826b69
14d6c30cd2
1584cb5310
hex54c3e598

1422124440 has 128 divisors (see below), whose sum is σ = 4700747520. Its totient is φ = 341312000.

The previous prime is 1422124397. The next prime is 1422124447. The reversal of 1422124440 is 444212241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1422124440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1422124447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127987 + ... + 138653.

It is an arithmetic number, because the mean of its divisors is an integer number (36724590).

Almost surely, 21422124440 is an apocalyptic number.

1422124440 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 1422124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350373760).

1422124440 is an abundant number, since it is smaller than the sum of its proper divisors (3278623080).

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

1422124440 is a wasteful number, since it uses less digits than its factorization.

1422124440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10793 (or 10789 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1422124440 is about 37711.0652196408. The cubic root of 1422124440 is about 1124.5511137532.

Adding to 1422124440 its reverse (444212241), we get a palindrome (1866336681).

The spelling of 1422124440 in words is "one billion, four hundred twenty-two million, one hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3333 4040 4444 5555 6060 6666 8888 10667 11110 12120 13332 16665 21334 22220 26664 32001 33330 42668 44440 53335 64002 66660 85336 106670 117337 128004 133320 160005 213340 234674 256008 320010 352011 426680 469348 586685 640020 704022 938696 1077367 1173370 1280040 1408044 1760055 2154734 2346740 2816088 3232101 3520110 4309468 4693480 5386835 6464202 7040220 8618936 10773670 11851037 12928404 14080440 16160505 21547340 23702074 25856808 32321010 35553111 43094680 47404148 59255185 64642020 71106222 94808296 118510370 129284040 142212444 177765555 237020740 284424888 355531110 474041480 711062220 1422124440