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42220320 = 253587959
BaseRepresentation
bin1010000100001…
…1101100100000
32221110000101120
42201003230200
541302022240
64104532240
71021603212
oct241035440
987400346
1042220320
112191782a
1212181080
13899334c
1458705b2
153a8ead0
hex2843b20

42220320 has 48 divisors (see below), whose sum is σ = 132995520. Its totient is φ = 11258624.

The previous prime is 42220319. The next prime is 42220331. The reversal of 42220320 is 2302224.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42220320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43500 + ... + 44459.

It is an arithmetic number, because the mean of its divisors is an integer number (2770740).

Almost surely, 242220320 is an apocalyptic number.

42220320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42220320 is an abundant number, since it is smaller than the sum of its proper divisors (90775200).

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

42220320 is a wasteful number, since it uses less digits than its factorization.

42220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87977 (or 87969 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 42220320 is about 6497.7165219791. The cubic root of 42220320 is about 348.2094128669.

Adding to 42220320 its reverse (2302224), we get a palindrome (44522544).

The spelling of 42220320 in words is "forty-two million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 87959 175918 263877 351836 439795 527754 703672 879590 1055508 1319385 1407344 1759180 2111016 2638770 2814688 3518360 4222032 5277540 7036720 8444064 10555080 14073440 21110160 42220320