Search a number
-
+
48222200 = 235213171091
BaseRepresentation
bin1011011111110…
…0111111111000
310100201221102102
42313330333320
544321102300
64441322532
71123611335
oct267747770
9110657372
1048222200
1125247064
1214196448
139cb5160
14659398c
1543780d5
hex2dfcff8

48222200 has 96 divisors (see below), whose sum is σ = 127960560. Its totient is φ = 16742400.

The previous prime is 48222179. The next prime is 48222227. The reversal of 48222200 is 222284.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43655 + ... + 44745.

Almost surely, 248222200 is an apocalyptic number.

48222200 is a gapful number since it is divisible by the number (40) 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 48222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63980280).

48222200 is an abundant number, since it is smaller than the sum of its proper divisors (79738360).

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

48222200 is a wasteful number, since it uses less digits than its factorization.

48222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 48222200 is about 6944.2206186152. The cubic root of 48222200 is about 363.9840390699.

Adding to 48222200 its reverse (222284), we get a palindrome (48444484).

The spelling of 48222200 in words is "forty-eight million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 130 136 170 200 221 260 325 340 425 442 520 650 680 850 884 1091 1105 1300 1700 1768 2182 2210 2600 3400 4364 4420 5455 5525 8728 8840 10910 11050 14183 18547 21820 22100 27275 28366 37094 43640 44200 54550 56732 70915 74188 92735 109100 113464 141830 148376 185470 218200 241111 283660 354575 370940 463675 482222 567320 709150 741880 927350 964444 1205555 1418300 1854700 1928888 2411110 2836600 3709400 4822220 6027775 9644440 12055550 24111100 48222200