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2202552 = 233511103
BaseRepresentation
bin1000011001101110111000
311010220100000
420121232320
51030440202
6115113000
724502302
oct10315670
94126300
102202552
1112748a0
128a2760
135c16b1
14414972
152d791c
hex219bb8

2202552 has 96 divisors (see below), whose sum is σ = 6814080. Its totient is φ = 660960.

The previous prime is 2202547. The next prime is 2202559. The reversal of 2202552 is 2552022.

2202552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202559) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21333 + ... + 21435.

It is an arithmetic number, because the mean of its divisors is an integer number (70980).

22202552 is an apocalyptic number.

2202552 is a gapful number since it is divisible by the number (22) 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 2202552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407040).

2202552 is an abundant number, since it is smaller than the sum of its proper divisors (4611528).

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

2202552 is a wasteful number, since it uses less digits than its factorization.

2202552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2202552 is about 1484.0997271073. The cubic root of 2202552 is about 130.1094147883.

Adding to 2202552 its reverse (2552022), we get a palindrome (4754574).

It can be divided in two parts, 220 and 2552, that added together give a palindrome (2772).

The spelling of 2202552 in words is "two million, two hundred two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 103 108 132 162 198 206 216 243 264 297 309 324 396 412 486 594 618 648 792 824 891 927 972 1133 1188 1236 1782 1854 1944 2266 2376 2472 2673 2781 3399 3564 3708 4532 5346 5562 6798 7128 7416 8343 9064 10197 10692 11124 13596 16686 20394 21384 22248 25029 27192 30591 33372 40788 50058 61182 66744 81576 91773 100116 122364 183546 200232 244728 275319 367092 550638 734184 1101276 2202552