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2200331000 = 23537615153
BaseRepresentation
bin1000001100100110…
…0110001011111000
312200100022101200202
42003021212023320
514001241043000
61002200421332
7105345335120
oct20311461370
95610271622
102200331000
11a2a03627a
12514a77848
13290b1920a
1416c325c80
15cd284dd5
hex832662f8

2200331000 has 128 divisors (see below), whose sum is σ = 5981938560. Its totient is φ = 741888000.

The previous prime is 2200330981. The next prime is 2200331017. The reversal of 2200331000 is 1330022.

It is a super-2 number, since 2×22003310002 = 9682913019122000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424424 + ... + 429576.

It is an arithmetic number, because the mean of its divisors is an integer number (46733895).

Almost surely, 22200331000 is an apocalyptic number.

2200331000 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 2200331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990969280).

2200331000 is an abundant number, since it is smaller than the sum of its proper divisors (3781607560).

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

2200331000 is a wasteful number, since it uses less digits than its factorization.

2200331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242 (or 5228 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2200331000 is about 46907.6859373813. The cubic root of 2200331000 is about 1300.6566702121.

Adding to 2200331000 its reverse (1330022), we get a palindrome (2201661022).

The spelling of 2200331000 in words is "two billion, two hundred million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 61 70 100 122 125 140 175 200 244 250 280 305 350 427 488 500 610 700 854 875 1000 1220 1400 1525 1708 1750 2135 2440 3050 3416 3500 4270 5153 6100 7000 7625 8540 10306 10675 12200 15250 17080 20612 21350 25765 30500 36071 41224 42700 51530 53375 61000 72142 85400 103060 106750 128825 144284 180355 206120 213500 257650 288568 314333 360710 427000 515300 628666 644125 721420 901775 1030600 1257332 1288250 1442840 1571665 1803550 2200331 2514664 2576500 3143330 3607100 4400662 4508875 5153000 6286660 7214200 7858325 8801324 9017750 11001655 12573320 15716650 17602648 18035500 22003310 31433300 36071000 39291625 44006620 55008275 62866600 78583250 88013240 110016550 157166500 220033100 275041375 314333000 440066200 550082750 1100165500 2200331000