Search a number
-
+
1422224000 = 2753103863
BaseRepresentation
bin101010011000101…
…0110101010000000
310200010011110112222
41110301112222000
510403042132000
6353043110212
750146463441
oct12461265200
93603143488
101422224000
1166a898a3a
12338372368
13198860282
14d6c592c8
1584cd4a85
hex54c56a80

1422224000 has 128 divisors (see below), whose sum is σ = 3574471680. Its totient is φ = 562713600.

The previous prime is 1422223997. The next prime is 1422224017. The reversal of 1422224000 is 4222241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×14222240002 = 4045442212352000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1422224000.

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, 1647569 + ... + 1648431.

It is an arithmetic number, because the mean of its divisors is an integer number (27925560).

Almost surely, 21422224000 is an apocalyptic number.

1422224000 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 1422224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787235840).

1422224000 is an abundant number, since it is smaller than the sum of its proper divisors (2152247680).

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

1422224000 is an equidigital number, since it uses as much as digits as its factorization.

1422224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 1422224000 is about 37712.3852335012. The cubic root of 1422224000 is about 1124.5773556425.

Adding to 1422224000 its reverse (4222241), we get a palindrome (1426446241).

The spelling of 1422224000 in words is "one billion, four hundred twenty-two million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 125 128 160 200 206 250 320 400 412 500 515 640 800 824 863 1000 1030 1600 1648 1726 2000 2060 2575 3200 3296 3452 4000 4120 4315 5150 6592 6904 8000 8240 8630 10300 12875 13184 13808 16000 16480 17260 20600 21575 25750 27616 32960 34520 41200 43150 51500 55232 65920 69040 82400 86300 88889 103000 107875 110464 138080 164800 172600 177778 206000 215750 276160 329600 345200 355556 412000 431500 444445 552320 690400 711112 824000 863000 888890 1380800 1422224 1648000 1726000 1777780 2222225 2761600 2844448 3452000 3555560 4444450 5688896 6904000 7111120 8888900 11111125 11377792 13808000 14222240 17777800 22222250 28444480 35555600 44444500 56888960 71111200 88889000 142222400 177778000 284444800 355556000 711112000 1422224000