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22420620 = 22325172431
BaseRepresentation
bin101010110000…
…1110010001100
31120012002022100
41111201302030
521214424440
62120315100
7361400145
oct125416214
946162270
1022420620
1111723a42
127612a90
134850151
142d98acc
151e7d230
hex1561c8c

22420620 has 108 divisors (see below), whose sum is σ = 72412704. Its totient is φ = 5614080.

The previous prime is 22420609. The next prime is 22420633. The reversal of 22420620 is 2602422.

It is a happy number.

22420620 is a `hidden beast` number, since 2 + 2 + 42 + 0 + 620 = 666.

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 = 22420593 and 22420602.

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 35 ways as a sum of consecutive naturals, for example, 51805 + ... + 52235.

It is an arithmetic number, because the mean of its divisors is an integer number (670488).

Almost surely, 222420620 is an apocalyptic number.

22420620 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 22420620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36206352).

22420620 is an abundant number, since it is smaller than the sum of its proper divisors (49992084).

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

22420620 is a wasteful number, since it uses less digits than its factorization.

22420620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22420620 is about 4735.0417104815. The cubic root of 22420620 is about 281.9784199572.

The spelling of 22420620 in words is "twenty-two million, four hundred twenty thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 431 510 578 612 765 862 867 1020 1156 1293 1445 1530 1724 1734 2155 2586 2601 2890 3060 3468 3879 4310 4335 5172 5202 5780 6465 7327 7758 8620 8670 10404 12930 13005 14654 15516 17340 19395 21981 25860 26010 29308 36635 38790 43962 52020 65943 73270 77580 87924 109905 124559 131886 146540 219810 249118 263772 329715 373677 439620 498236 622795 659430 747354 1121031 1245590 1318860 1494708 1868385 2242062 2491180 3736770 4484124 5605155 7473540 11210310 22420620