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22534020 = 22325235443
BaseRepresentation
bin101010111110…
…1011110000100
31120101211212100
41111331132010
521232042040
62122552100
7362351565
oct125753604
946354770
1022534020
11117a1163
127668630
13488c952
142dc816c
151ea1b30
hex157d784

22534020 has 72 divisors (see below), whose sum is σ = 71338176. Its totient is φ = 5746752.

The previous prime is 22534013. The next prime is 22534033. The reversal of 22534020 is 2043522.

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

It is a junction number, because it is equal to n+sod(n) for n = 22533984 and 22534002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1419 + ... + 6861.

It is an arithmetic number, because the mean of its divisors is an integer number (990808).

Almost surely, 222534020 is an apocalyptic number.

22534020 is a gapful number since it is divisible by the number (20) 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 22534020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35669088).

22534020 is an abundant number, since it is smaller than the sum of its proper divisors (48804156).

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

22534020 is a wasteful number, since it uses less digits than its factorization.

22534020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5481 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22534020 is about 4747.0011586264. The cubic root of 22534020 is about 282.4530216606.

Adding to 22534020 its reverse (2043522), we get a palindrome (24577542).

The spelling of 22534020 in words is "twenty-two million, five hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 5443 10886 16329 21772 27215 32658 48987 54430 65316 81645 97974 108860 125189 163290 195948 244935 250378 326580 375567 489870 500756 625945 751134 979740 1126701 1251890 1502268 1877835 2253402 2503780 3755670 4506804 5633505 7511340 11267010 22534020