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1422148032 = 263212719441
BaseRepresentation
bin101010011000100…
…0100000111000000
310200010000121100100
41110301010013000
510403032214112
6353041322400
750146026114
oct12461040700
93603017310
101422148032
1166a846958
12338336400
13198834816
14d6c39744
1584cbc2dc
hex54c441c0

1422148032 has 84 divisors (see below), whose sum is σ = 4108638976. Its totient is φ = 470292480.

The previous prime is 1422148009. The next prime is 1422148051. The reversal of 1422148032 is 2308412241.

It is a junction number, because it is equal to n+sod(n) for n = 1422147987 and 1422148005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63432 + ... + 82872.

Almost surely, 21422148032 is an apocalyptic number.

1422148032 is a gapful number since it is divisible by the number (12) 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 1422148032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054319488).

1422148032 is an abundant number, since it is smaller than the sum of its proper divisors (2686490944).

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

1422148032 is a wasteful number, since it uses less digits than its factorization.

1422148032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19586 (or 19573 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1422148032 is about 37711.3780177813. The cubic root of 1422148032 is about 1124.5573322112.

The spelling of 1422148032 in words is "one billion, four hundred twenty-two million, one hundred forty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 144 192 254 288 381 508 576 762 1016 1143 1524 2032 2286 3048 4064 4572 6096 8128 9144 12192 18288 19441 24384 36576 38882 58323 73152 77764 116646 155528 174969 233292 311056 349938 466584 622112 699876 933168 1244224 1399752 1866336 2469007 2799504 3732672 4938014 5599008 7407021 9876028 11198016 14814042 19752056 22221063 29628084 39504112 44442126 59256168 79008224 88884252 118512336 158016448 177768504 237024672 355537008 474049344 711074016 1422148032