Search a number
-
+
30262200 = 23352311627
BaseRepresentation
bin111001101110…
…0001110111000
32002221110221020
41303130032320
530221342300
63000342440
7515136663
oct163341670
962843836
1030262200
111609a491
12a174a20
136367437
14403a6da
1529cb8a0
hex1cdc3b8

30262200 has 96 divisors (see below), whose sum is σ = 96898560. Its totient is φ = 7804800.

The previous prime is 30262187. The next prime is 30262201. The reversal of 30262200 is 226203.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30262200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30262201) 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, 17787 + ... + 19413.

It is an arithmetic number, because the mean of its divisors is an integer number (1009360).

Almost surely, 230262200 is an apocalyptic number.

30262200 is a gapful number since it is divisible by the number (30) 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 30262200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48449280).

30262200 is an abundant number, since it is smaller than the sum of its proper divisors (66636360).

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

30262200 is a wasteful number, since it uses less digits than its factorization.

30262200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 30262200 is about 5501.1089791059. The cubic root of 30262200 is about 311.6258664630.

Adding to 30262200 its reverse (226203), we get a palindrome (30488403).

The spelling of 30262200 in words is "thirty million, two hundred sixty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1627 1860 2325 3100 3254 3720 4650 4881 6200 6508 8135 9300 9762 13016 16270 18600 19524 24405 32540 39048 40675 48810 50437 65080 81350 97620 100874 122025 151311 162700 195240 201748 244050 252185 302622 325400 403496 488100 504370 605244 756555 976200 1008740 1210488 1260925 1513110 2017480 2521850 3026220 3782775 5043700 6052440 7565550 10087400 15131100 30262200