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822425628 = 22323101163181
BaseRepresentation
bin110001000001010…
…011100000011100
32010022112112212110
4301001103200130
53141020110003
6213335234020
726244334233
oct6101234034
92108475773
10822425628
11392268602
121ab518910
131015053ab
147b325b1a
154c306a03
hex3105381c

822425628 has 96 divisors (see below), whose sum is σ = 2045901312. Its totient is φ = 256608000.

The previous prime is 822425579. The next prime is 822425657. The reversal of 822425628 is 826524228.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4543698 + ... + 4543878.

It is an arithmetic number, because the mean of its divisors is an integer number (21311472).

Almost surely, 2822425628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 822425628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022950656).

822425628 is an abundant number, since it is smaller than the sum of its proper divisors (1223475684).

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

822425628 is a wasteful number, since it uses less digits than its factorization.

822425628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 473 counting only the distinct ones).

The product of its digits is 122880, while the sum is 39.

The square root of 822425628 is about 28677.9641536843. The cubic root of 822425628 is about 936.9121659627.

The spelling of 822425628 in words is "eight hundred twenty-two million, four hundred twenty-five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 101 138 163 181 202 276 303 326 362 404 489 543 606 652 724 978 1086 1212 1956 2172 2323 3749 4163 4646 6969 7498 8326 9292 11247 12489 13938 14996 16463 16652 18281 22494 24978 27876 29503 32926 36562 44988 49389 49956 54843 59006 65852 73124 88509 98778 109686 118012 177018 197556 219372 354036 378649 420463 678569 757298 840926 1135947 1261389 1357138 1514596 1681852 2035707 2271894 2522778 2714276 2979803 4071414 4543788 5045556 5959606 8142828 8939409 11919212 17878818 35757636 68535469 137070938 205606407 274141876 411212814 822425628