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1422443120 = 24576833719
BaseRepresentation
bin101010011001000…
…1100001001110000
310200010120121010112
41110302030021300
510403121134440
6353051520452
750151365330
oct12462141160
93603517115
101422443120
1166aa2862a
12338459128
13198908c27
14d6cb50c0
1584d29965
hex54c8c270

1422443120 has 80 divisors (see below), whose sum is σ = 3786186240. Its totient is φ = 486849792.

The previous prime is 1422443107. The next prime is 1422443131. The reversal of 1422443120 is 213442241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380621 + ... + 384339.

It is an arithmetic number, because the mean of its divisors is an integer number (47327328).

Almost surely, 21422443120 is an apocalyptic number.

1422443120 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 1422443120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893093120).

1422443120 is an abundant number, since it is smaller than the sum of its proper divisors (2363743120).

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

1422443120 is a wasteful number, since it uses less digits than its factorization.

1422443120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4422 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 1422443120 is about 37715.2902680067. The cubic root of 1422443120 is about 1124.6351066804.

Adding to 1422443120 its reverse (213442241), we get a palindrome (1635885361).

The spelling of 1422443120 in words is "one billion, four hundred twenty-two million, four hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 683 1366 2732 3415 3719 4781 5464 6830 7438 9562 10928 13660 14876 18595 19124 23905 26033 27320 29752 37190 38248 47810 52066 54640 59504 74380 76496 95620 104132 130165 148760 191240 208264 260330 297520 382480 416528 520660 1041320 2082640 2540077 5080154 10160308 12700385 17780539 20320616 25400770 35561078 40641232 50801540 71122156 88902695 101603080 142244312 177805390 203206160 284488624 355610780 711221560 1422443120