Search a number
-
+
88228320 = 2535183809
BaseRepresentation
bin1010100001001…
…00000111100000
320011000110111120
411100210013200
5140041301240
612431012240
72120633265
oct520440740
9204013446
1088228320
1145891274
122566a080
131538170b
14ba0926c
157b2bad0
hex54241e0

88228320 has 48 divisors (see below), whose sum is σ = 277920720. Its totient is φ = 23527424.

The previous prime is 88228307. The next prime is 88228331. The reversal of 88228320 is 2382288.

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

It is a congruent number.

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, 91425 + ... + 92384.

It is an arithmetic number, because the mean of its divisors is an integer number (5790015).

Almost surely, 288228320 is an apocalyptic number.

88228320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88228320 is an abundant number, since it is smaller than the sum of its proper divisors (189692400).

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

88228320 is a wasteful number, since it uses less digits than its factorization.

88228320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183827 (or 183819 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 88228320 is about 9392.9931331818. The cubic root of 88228320 is about 445.1803670640.

The spelling of 88228320 in words is "eighty-eight million, two hundred twenty-eight 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 183809 367618 551427 735236 919045 1102854 1470472 1838090 2205708 2757135 2940944 3676180 4411416 5514270 5881888 7352360 8822832 11028540 14704720 17645664 22057080 29409440 44114160 88228320