Search a number
-
+
30214200 = 23352371361
BaseRepresentation
bin111001101000…
…0100000111000
32002212001002110
41303100200320
530213323300
62555332320
7514550022
oct163204070
962761073
1030214200
1116067415
12a1510a0
13634b633
144027012
1529bc550
hex1cd0838

30214200 has 96 divisors (see below), whose sum is σ = 96266160. Its totient is φ = 7833600.

The previous prime is 30214193. The next prime is 30214207. The reversal of 30214200 is 241203.

It is an interprime number because it is at equal distance from previous prime (30214193) and next prime (30214207).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30214207) 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, 21520 + ... + 22880.

Almost surely, 230214200 is an apocalyptic number.

30214200 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 30214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48133080).

30214200 is an abundant number, since it is smaller than the sum of its proper divisors (66051960).

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

30214200 is a wasteful number, since it uses less digits than its factorization.

30214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 30214200 is about 5496.7444910601. The cubic root of 30214200 is about 311.4610188195.

Adding to 30214200 its reverse (241203), we get a palindrome (30455403).

The spelling of 30214200 in words is "thirty million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1361 1480 1850 2220 2722 2775 3700 4083 4440 5444 5550 6805 7400 8166 10888 11100 13610 16332 20415 22200 27220 32664 34025 40830 50357 54440 68050 81660 100714 102075 136100 151071 163320 201428 204150 251785 272200 302142 402856 408300 503570 604284 755355 816600 1007140 1208568 1258925 1510710 2014280 2517850 3021420 3776775 5035700 6042840 7553550 10071400 15107100 30214200