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22072320 = 210325479
BaseRepresentation
bin101010000110…
…0110000000000
31112112101112100
41110030300000
521122303240
62105030400
7355416534
oct124146000
945471470
1022072320
1111506296
127485400
13475a75a
142d07bc4
151e0ee30
hex150cc00

22072320 has 132 divisors (see below), whose sum is σ = 76639680. Its totient is φ = 5873664.

The previous prime is 22072289. The next prime is 22072331. The reversal of 22072320 is 2327022.

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 = 22072293 and 22072302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45841 + ... + 46319.

Almost surely, 222072320 is an apocalyptic number.

22072320 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 22072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38319840).

22072320 is an abundant number, since it is smaller than the sum of its proper divisors (54567360).

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

22072320 is a wasteful number, since it uses less digits than its factorization.

22072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 22072320 is about 4698.1187724450. The cubic root of 22072320 is about 280.5106328245.

Adding to 22072320 its reverse (2327022), we get a palindrome (24399342).

The spelling of 22072320 in words is "twenty-two million, seventy-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 479 480 512 576 640 720 768 958 960 1024 1152 1280 1437 1440 1536 1916 1920 2304 2395 2560 2874 2880 3072 3832 3840 4311 4608 4790 5120 5748 5760 7185 7664 7680 8622 9216 9580 11496 11520 14370 15328 15360 17244 19160 21555 22992 23040 28740 30656 34488 38320 43110 45984 46080 57480 61312 68976 76640 86220 91968 114960 122624 137952 153280 172440 183936 229920 245248 275904 306560 344880 367872 459840 490496 551808 613120 689760 735744 919680 1103616 1226240 1379520 1471488 1839360 2207232 2452480 2759040 3678720 4414464 5518080 7357440 11036160 22072320