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1442224420 = 2257137111161
BaseRepresentation
bin101010111110110…
…1001100100100100
310201111210120222021
41111331221210210
510423202140140
6355035512524
750511463630
oct12575514444
93644716867
101442224420
1168010960a
12342bb8744
1319ca43940
14d9783dc0
1586935b4a
hex55f69924

1442224420 has 96 divisors (see below), whose sum is σ = 3780435456. Its totient is φ = 449971200.

The previous prime is 1442224411. The next prime is 1442224423. The reversal of 1442224420 is 244222441.

It is a super-2 number, since 2×14422244202 = 4160022555288672800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1442224423) 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, 123640 + ... + 134800.

It is an arithmetic number, because the mean of its divisors is an integer number (39379536).

Almost surely, 21442224420 is an apocalyptic number.

1442224420 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 1442224420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890217728).

1442224420 is an abundant number, since it is smaller than the sum of its proper divisors (2338211036).

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

1442224420 is a wasteful number, since it uses less digits than its factorization.

1442224420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11261 (or 11259 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 1442224420 is about 37976.6299189383. The cubic root of 1442224420 is about 1129.8243964469.

Adding to 1442224420 its reverse (244222441), we get a palindrome (1686446861).

The spelling of 1442224420 in words is "one billion, four hundred forty-two million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 71 91 130 140 142 182 260 284 355 364 455 497 710 910 923 994 1420 1820 1846 1988 2485 3692 4615 4970 6461 9230 9940 11161 12922 18460 22322 25844 32305 44644 55805 64610 78127 111610 129220 145093 156254 223220 290186 312508 390635 580372 725465 781270 792431 1015651 1450930 1562540 1584862 2031302 2901860 3169724 3962155 4062604 5078255 5547017 7924310 10156510 10301603 11094034 15848620 20313020 20603206 22188068 27735085 41206412 51508015 55470170 72111221 103016030 110940340 144222442 206032060 288444884 360556105 721112210 1442224420