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22076958720 = 211353719423
BaseRepresentation
bin10100100011111000…
…111010100000000000
32002222120200200222210
4110203320322200000
5330203200134340
614050401502120
71411042024065
oct244370724000
962876620883
1022076958720
1193a995a933
124341641940
13210aa88cab
1410d6094c6c
15893281180
hex523e3a800

22076958720 has 192 divisors, whose sum is σ = 72541647360. Its totient is φ = 5727780864.

The previous prime is 22076958703. The next prime is 22076958811. The reversal of 22076958720 is 2785967022.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 22076958720.

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, 1126929 + ... + 1146351.

It is an arithmetic number, because the mean of its divisors is an integer number (377821080).

Almost surely, 222076958720 is an apocalyptic number.

22076958720 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 22076958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36270823680).

22076958720 is an abundant number, since it is smaller than the sum of its proper divisors (50464688640).

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

22076958720 is a wasteful number, since it uses less digits than its factorization.

22076958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19490 (or 19470 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 22076958720 in words is "twenty-two billion, seventy-six million, nine hundred fifty-eight thousand, seven hundred twenty".