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22812851334 = 23713219229307
BaseRepresentation
bin10101001111110000…
…000111110010000110
32011212212101220212210
4111033300013302012
5333210042220314
614251410324250
71435216015440
oct251760076206
964785356783
1022812851334
119747294949
124507b89686
1321c7384500
141165ad3490
158d7b93559
hex54fc07c86

22812851334 has 288 divisors, whose sum is σ = 61847089920. Its totient is φ = 5485439232.

The previous prime is 22812851311. The next prime is 22812851339. The reversal of 22812851334 is 43315821822.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 22812851292 and 22812851301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22812851339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74308809 + ... + 74309115.

It is an arithmetic number, because the mean of its divisors is an integer number (214746840).

Almost surely, 222812851334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22812851334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30923544960).

22812851334 is an abundant number, since it is smaller than the sum of its proper divisors (39034238586).

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

22812851334 is a wasteful number, since it uses less digits than its factorization.

22812851334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 380 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The spelling of 22812851334 in words is "twenty-two billion, eight hundred twelve million, eight hundred fifty-one thousand, three hundred thirty-four".