Search a number
-
+
233222280 = 23355932941
BaseRepresentation
bin11011110011010…
…11000010001000
3121020211220211020
431321223002020
5434201103110
635050432440
75531233224
oct1571530210
9536756736
10233222280
1110a714395
1266132720
1339419b65
1422d8d784
151571cd70
hexde6b088

233222280 has 64 divisors (see below), whose sum is σ = 711547200. Its totient is φ = 61136640.

The previous prime is 233222279. The next prime is 233222293. The reversal of 233222280 is 82222332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 233222280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9391 + ... + 23550.

It is an arithmetic number, because the mean of its divisors is an integer number (11117925).

Almost surely, 2233222280 is an apocalyptic number.

233222280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233222280 is an abundant number, since it is smaller than the sum of its proper divisors (478324920).

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

233222280 is a wasteful number, since it uses less digits than its factorization.

233222280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33014 (or 33010 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 233222280 is about 15271.6168102791. The cubic root of 233222280 is about 615.5405651076.

The spelling of 233222280 in words is "two hundred thirty-three million, two hundred twenty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 7080 32941 65882 98823 131764 164705 197646 263528 329410 395292 494115 658820 790584 988230 1317640 1943519 1976460 3887038 3952920 5830557 7774076 9717595 11661114 15548152 19435190 23322228 29152785 38870380 46644456 58305570 77740760 116611140 233222280