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20822424 = 2337413023
BaseRepresentation
bin100111101101…
…1100110011000
31110011212222220
41033123212120
520312304144
62022144040
7341662530
oct117334630
943155886
1020822424
1110832217
126b82020
13441087c
142aa04c0
151c64919
hex13db998

20822424 has 64 divisors (see below), whose sum is σ = 60963840. Its totient is φ = 5802240.

The previous prime is 20822419. The next prime is 20822437. The reversal of 20822424 is 42422802.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20822394 and 20822403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5377 + ... + 8399.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 220822424 is an apocalyptic number.

20822424 is a gapful number since it is divisible by the number (24) 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 20822424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30481920).

20822424 is an abundant number, since it is smaller than the sum of its proper divisors (40141416).

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

20822424 is a wasteful number, since it uses less digits than its factorization.

20822424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 20822424 is about 4563.1594317972. The cubic root of 20822424 is about 275.1125665887.

The spelling of 20822424 in words is "twenty million, eight hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 861 984 1148 1722 2296 3023 3444 6046 6888 9069 12092 18138 21161 24184 36276 42322 63483 72552 84644 123943 126966 169288 247886 253932 371829 495772 507864 743658 867601 991544 1487316 1735202 2602803 2974632 3470404 5205606 6940808 10411212 20822424