Search a number
-
+
30212400 = 24352171481
BaseRepresentation
bin111001101000…
…0000100110000
32002211221121210
41303100010300
530213244100
62555320120
7514541541
oct163200460
962757553
1030212400
1116066029
12a150040
13634a87a
1440264c8
1529bbc50
hex1cd0130

30212400 has 120 divisors (see below), whose sum is σ = 102542544. Its totient is φ = 7577600.

The previous prime is 30212393. The next prime is 30212401. The reversal of 30212400 is 421203.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×302124002 = 1825578227520000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (30212401) 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, 19660 + ... + 21140.

Almost surely, 230212400 is an apocalyptic number.

30212400 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 30212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51271272).

30212400 is an abundant number, since it is smaller than the sum of its proper divisors (72330144).

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

30212400 is a wasteful number, since it uses less digits than its factorization.

30212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1508 counting only the distinct ones).

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

The square root of 30212400 is about 5496.5807553424. The cubic root of 30212400 is about 311.4548336377.

Adding to 30212400 its reverse (421203), we get a palindrome (30633603).

The spelling of 30212400 in words is "thirty million, two hundred twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 240 255 272 300 340 400 408 425 510 600 680 816 850 1020 1200 1275 1360 1481 1700 2040 2550 2962 3400 4080 4443 5100 5924 6800 7405 8886 10200 11848 14810 17772 20400 22215 23696 25177 29620 35544 37025 44430 50354 59240 71088 74050 75531 88860 100708 111075 118480 125885 148100 151062 177720 201416 222150 251770 296200 302124 355440 377655 402832 444300 503540 592400 604248 629425 755310 888600 1007080 1208496 1258850 1510620 1777200 1888275 2014160 2517700 3021240 3776550 5035400 6042480 7553100 10070800 15106200 30212400