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1422101856 = 25372697867
BaseRepresentation
bin101010011000011…
…1000110101100000
310200002221021000010
41110300320311200
510403024224411
6353040324520
750145444360
oct12460706540
93602837003
101422101856
1166a81519a
12338313740
131988197b6
14d6c269a0
1584cad7a6
hex54c38d60

1422101856 has 96 divisors (see below), whose sum is σ = 4282709760. Its totient is φ = 404752896.

The previous prime is 1422101819. The next prime is 1422101893. The reversal of 1422101856 is 6581012241.

It is an interprime number because it is at equal distance from previous prime (1422101819) and next prime (1422101893).

It is a tau number, because it is divible by the number of its divisors (96).

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, 176835 + ... + 184701.

It is an arithmetic number, because the mean of its divisors is an integer number (44611560).

Almost surely, 21422101856 is an apocalyptic number.

1422101856 is a gapful number since it is divisible by the number (16) 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 1422101856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141354880).

1422101856 is an abundant number, since it is smaller than the sum of its proper divisors (2860607904).

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

1422101856 is a wasteful number, since it uses less digits than its factorization.

1422101856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8156 (or 8148 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1422101856 is about 37710.7657837918. The cubic root of 1422101856 is about 1124.5451609228.

The spelling of 1422101856 in words is "one billion, four hundred twenty-two million, one hundred one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 269 336 538 672 807 1076 1614 1883 2152 3228 3766 4304 5649 6456 7532 7867 8608 11298 12912 15064 15734 22596 23601 25824 30128 31468 45192 47202 55069 60256 62936 90384 94404 110138 125872 165207 180768 188808 220276 251744 330414 377616 440552 660828 755232 881104 1321656 1762208 2116223 2643312 4232446 5286624 6348669 8464892 12697338 14813561 16929784 25394676 29627122 33859568 44440683 50789352 59254244 67719136 88881366 101578704 118508488 177762732 203157408 237016976 355525464 474033952 711050928 1422101856