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823225522328 = 231179118415639
BaseRepresentation
bin10111111101011000001…
…00001001100010011000
32220200220000001112001022
423332230010021202120
5101441431213203303
61430103511542012
7113322203325056
oct13765404114230
92820800045038
10823225522328
11298145389450
1211366868a908
135c82598a9b1
142bbb6b9b1d6
15166322ed438
hexbfac109898

823225522328 has 32 divisors (see below), whose sum is σ = 1705185216000. Its totient is φ = 369456790560.

The previous prime is 823225522289. The next prime is 823225522351.

823225522328 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8232255223282 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59200868 + ... + 59214771.

It is an arithmetic number, because the mean of its divisors is an integer number (53287038000).

Almost surely, 2823225522328 is an apocalyptic number.

823225522328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

823225522328 is an abundant number, since it is smaller than the sum of its proper divisors (881959693672).

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

823225522328 is a wasteful number, since it uses less digits than its factorization.

823225522328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118415735 (or 118415731 counting only the distinct ones).

The product of its digits is 921600, while the sum is 44.

The spelling of 823225522328 in words is "eight hundred twenty-three billion, two hundred twenty-five million, five hundred twenty-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 79 88 158 316 632 869 1738 3476 6952 118415639 236831278 473662556 947325112 1302572029 2605144058 5210288116 9354835481 10420576232 18709670962 37419341924 74838683848 102903190291 205806380582 411612761164 823225522328