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1422290240 = 26573172003
BaseRepresentation
bin101010011000110…
…0110110101000000
310200010021211102022
41110301212311000
510403101241430
6353044341012
750150160530
oct12461466500
93603254368
101422290240
1166a933788
123383a4768
13198884477
14d6c754c0
1584ce94e5
hex54c66d40

1422290240 has 112 divisors (see below), whose sum is σ = 3884810112. Its totient is φ = 485861376.

The previous prime is 1422290173. The next prime is 1422290257. The reversal of 1422290240 is 420922241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 709079 + ... + 711081.

Almost surely, 21422290240 is an apocalyptic number.

1422290240 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 1422290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942405056).

1422290240 is an abundant number, since it is smaller than the sum of its proper divisors (2462519872).

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

1422290240 is a wasteful number, since it uses less digits than its factorization.

1422290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 1422290240 is about 37713.2634493490. The cubic root of 1422290240 is about 1124.5948144131.

The spelling of 1422290240 in words is "one billion, four hundred twenty-two million, two hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 317 320 448 560 634 1120 1268 1585 2003 2219 2240 2536 3170 4006 4438 5072 6340 8012 8876 10015 10144 11095 12680 14021 16024 17752 20030 20288 22190 25360 28042 32048 35504 40060 44380 50720 56084 64096 70105 71008 80120 88760 101440 112168 128192 140210 142016 160240 177520 224336 280420 320480 355040 448672 560840 634951 640960 710080 897344 1121680 1269902 2243360 2539804 3174755 4444657 4486720 5079608 6349510 8889314 10159216 12699020 17778628 20318432 22223285 25398040 35557256 40636864 44446570 50796080 71114512 88893140 101592160 142229024 177786280 203184320 284458048 355572560 711145120 1422290240