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2052232200 = 23355242227
BaseRepresentation
bin111101001010010…
…1001010000001000
312022000122012100000
41322110221100020
513200332412300
6535350243000
7101566454154
oct17224512010
95260565300
102052232200
11963482477
12493356460
132692347a5
141567b4064
15c027dc00
hex7a529408

2052232200 has 144 divisors (see below), whose sum is σ = 7147511280. Its totient is φ = 547248960.

The previous prime is 2052232159. The next prime is 2052232207. The reversal of 2052232200 is 22322502.

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 (2052232207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27487 + ... + 69713.

It is an arithmetic number, because the mean of its divisors is an integer number (49635495).

Almost surely, 22052232200 is an apocalyptic number.

2052232200 is a gapful number since it is divisible by the number (20) 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 2052232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573755640).

2052232200 is an abundant number, since it is smaller than the sum of its proper divisors (5095279080).

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

2052232200 is a wasteful number, since it uses less digits than its factorization.

2052232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42258 (or 42237 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2052232200 is about 45301.5695092344. The cubic root of 2052232200 is about 1270.7950051566.

Adding to 2052232200 its reverse (22322502), we get a palindrome (2074554702).

The spelling of 2052232200 in words is "two billion, fifty-two million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 243 270 300 324 360 405 450 486 540 600 648 675 810 900 972 1080 1215 1350 1620 1800 1944 2025 2430 2700 3240 4050 4860 5400 6075 8100 9720 12150 16200 24300 42227 48600 84454 126681 168908 211135 253362 337816 380043 422270 506724 633405 760086 844540 1013448 1055675 1140129 1266810 1520172 1689080 1900215 2111350 2280258 2533620 3040344 3167025 3420387 3800430 4222700 4560516 5067240 5700645 6334050 6840774 7600860 8445400 9121032 9501075 10261161 11401290 12668100 13681548 15201720 17101935 19002150 20522322 22802580 25336200 27363096 28503225 34203870 38004300 41044644 45605160 51305805 57006450 68407740 76008600 82089288 85509675 102611610 114012900 136815480 171019350 205223220 228025800 256529025 342038700 410446440 513058050 684077400 1026116100 2052232200