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77000022 = 232111572477
BaseRepresentation
bin1001001011011…
…10110101010110
312100220000011200
410211232311112
5124203000042
611350213330
71623326601
oct445566526
9170800150
1077000022
113a512290
1221954246
1312c4ca58
14a325338
156b5ec4c
hex496ed56

77000022 has 48 divisors (see below), whose sum is σ = 183233232. Its totient is φ = 23175360.

The previous prime is 77000003. The next prime is 77000029. The reversal of 77000022 is 22000077.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 76999959 and 77000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77000029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29848 + ... + 32324.

It is an arithmetic number, because the mean of its divisors is an integer number (3817359).

Almost surely, 277000022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91616616).

77000022 is an abundant number, since it is smaller than the sum of its proper divisors (106233210).

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

77000022 is a wasteful number, since it uses less digits than its factorization.

77000022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 77000022 is about 8774.9656409584. The cubic root of 77000022 is about 425.4321270288.

Adding to 77000022 its reverse (22000077), we get a palindrome (99000099).

Subtracting from 77000022 its reverse (22000077), we obtain a palindrome (54999945).

The spelling of 77000022 in words is "seventy-seven million, twenty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 6 9 11 18 22 33 66 99 157 198 314 471 942 1413 1727 2477 2826 3454 4954 5181 7431 10362 14862 15543 22293 27247 31086 44586 54494 81741 163482 245223 388889 490446 777778 1166667 2333334 3500001 4277779 7000002 8555558 12833337 25666674 38500011 77000022