Search a number
-
+
2200023100 = 2252114148781
BaseRepresentation
bin1000001100100001…
…1011000000111100
312200022201202100001
42003020123000330
514001201214400
61002150044044
7105342613342
oct20310330074
95608652301
102200023100
11a29945a10
12514949624
13290a3c022
1416c285992
15cd223a6a
hex8321b03c

2200023100 has 72 divisors (see below), whose sum is σ = 5335189776. Its totient is φ = 780480000.

The previous prime is 2200023079. The next prime is 2200023101. The reversal of 2200023100 is 13200022.

It is a super-2 number, since 2×22000231002 = 9680203281067220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

2200023100 is a modest number, since divided by 23100 gives 2200 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200023101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20710 + ... + 69490.

It is an arithmetic number, because the mean of its divisors is an integer number (74099858).

Almost surely, 22200023100 is an apocalyptic number.

2200023100 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 2200023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667594888).

2200023100 is an abundant number, since it is smaller than the sum of its proper divisors (3135166676).

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

2200023100 is a wasteful number, since it uses less digits than its factorization.

2200023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48847 (or 48840 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2200023100 is about 46904.4038444153. The cubic root of 2200023100 is about 1300.5959989055.

Adding to 2200023100 its reverse (13200022), we get a palindrome (2213223122).

The spelling of 2200023100 in words is "two billion, two hundred million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1804 2050 2255 4100 4510 9020 11275 22550 45100 48781 97562 195124 243905 487810 536591 975620 1073182 1219525 2000021 2146364 2439050 2682955 4000042 4878100 5365910 8000084 10000105 10731820 13414775 20000210 22000231 26829550 40000420 44000462 50000525 53659100 88000924 100001050 110001155 200002100 220002310 440004620 550005775 1100011550 2200023100