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23056162000 = 245389129529
BaseRepresentation
bin10101011110010000…
…010001110011010000
32012111211020101100221
4111132100101303100
5334204334141000
614331501322424
71444232100124
oct253620216320
965454211327
1023056162000
119861669843
124575566414
1322358c4211
14118a14b584
158ee20561a
hex55e411cd0

23056162000 has 80 divisors (see below), whose sum is σ = 56376637200. Its totient is φ = 9118771200.

The previous prime is 23056161979. The next prime is 23056162027. The reversal of 23056162000 is 26165032.

It can be written as a sum of positive squares in 8 ways, for example, as 7108513344 + 15947648656 = 84312^2 + 126284^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 113236 + ... + 242764.

It is an arithmetic number, because the mean of its divisors is an integer number (704707965).

Almost surely, 223056162000 is an apocalyptic number.

23056162000 is a gapful number since it is divisible by the number (20) 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 23056162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28188318600).

23056162000 is an abundant number, since it is smaller than the sum of its proper divisors (33320475200).

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

23056162000 is a wasteful number, since it uses less digits than its factorization.

23056162000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129641 (or 129625 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The spelling of 23056162000 in words is "twenty-three billion, fifty-six million, one hundred sixty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 125 178 200 250 356 400 445 500 712 890 1000 1424 1780 2000 2225 3560 4450 7120 8900 11125 17800 22250 35600 44500 89000 129529 178000 259058 518116 647645 1036232 1295290 2072464 2590580 3238225 5181160 6476450 10362320 11528081 12952900 16191125 23056162 25905800 32382250 46112324 51811600 57640405 64764500 92224648 115280810 129529000 184449296 230561620 259058000 288202025 461123240 576404050 922246480 1152808100 1441010125 2305616200 2882020250 4611232400 5764040500 11528081000 23056162000