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22033152 = 283273131
BaseRepresentation
bin101010000001…
…1001100000000
31112110101210200
41110003030000
521120030102
62104125200
7355164411
oct124031400
945411720
1022033152
1111489919
127466800
13474598b
142cd7808
151e0351c
hex1503300

22033152 has 108 divisors (see below), whose sum is σ = 64888824. Its totient is φ = 7188480.

The previous prime is 22033147. The next prime is 22033153. The reversal of 22033152 is 25133022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22033153) by changing a digit.

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, 168127 + ... + 168257.

Almost surely, 222033152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22033152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32444412).

22033152 is an abundant number, since it is smaller than the sum of its proper divisors (42855672).

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

22033152 is a wasteful number, since it uses less digits than its factorization.

22033152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 22033152 is about 4693.9484445401. The cubic root of 22033152 is about 280.3446097116.

Adding to 22033152 its reverse (25133022), we get a palindrome (47166174).

The spelling of 22033152 in words is "twenty-two million, thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 131 144 146 192 219 256 262 288 292 384 393 438 524 576 584 657 768 786 876 1048 1152 1168 1179 1314 1572 1752 2096 2304 2336 2358 2628 3144 3504 4192 4672 4716 5256 6288 7008 8384 9344 9432 9563 10512 12576 14016 16768 18688 18864 19126 21024 25152 28032 28689 33536 37728 38252 42048 50304 56064 57378 75456 76504 84096 86067 100608 114756 150912 153008 168192 172134 229512 301824 306016 344268 459024 612032 688536 918048 1224064 1377072 1836096 2448128 2754144 3672192 5508288 7344384 11016576 22033152