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3004212200 = 2352112432887
BaseRepresentation
bin1011001100010000…
…1010001111101000
321202100221210101112
42303010022033220
522123034242300
61214034405452
7134306245103
oct26304121750
97670853345
103004212200
111301888100
126ba130888
1338b52a872
14206dc173a
15128b26e35
hexb310a3e8

3004212200 has 144 divisors (see below), whose sum is σ = 7858767840. Its totient is φ = 1066665600.

The previous prime is 3004212199. The next prime is 3004212203. The reversal of 3004212200 is 22124003.

It is not an unprimeable number, because it can be changed into a prime (3004212203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1039157 + ... + 1042043.

Almost surely, 23004212200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929383920).

3004212200 is an abundant number, since it is smaller than the sum of its proper divisors (4854555640).

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

3004212200 is a wasteful number, since it uses less digits than its factorization.

3004212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 3004212200 is about 54810.6942119875. The cubic root of 3004212200 is about 1442.9242594852.

Adding to 3004212200 its reverse (22124003), we get a palindrome (3026336203).

The spelling of 3004212200 in words is "three billion, four million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 121 172 200 215 220 242 275 344 430 440 473 484 550 605 860 946 968 1075 1100 1210 1720 1892 2150 2200 2365 2420 2887 3025 3784 4300 4730 4840 5203 5774 6050 8600 9460 10406 11548 11825 12100 14435 18920 20812 23096 23650 24200 26015 28870 31757 41624 47300 52030 57740 63514 72175 94600 104060 115480 124141 127028 130075 144350 158785 208120 248282 254056 260150 288700 317570 349327 496564 520300 577400 620705 635140 698654 793925 993128 1040600 1241410 1270280 1365551 1397308 1587850 1746635 2482820 2731102 2794616 3103525 3175700 3493270 4965640 5462204 6207050 6351400 6827755 6986540 8733175 10924408 12414100 13655510 13973080 15021061 17466350 24828200 27311020 30042122 34138775 34932700 54622040 60084244 68277550 69865400 75105305 120168488 136555100 150210610 273110200 300421220 375526525 600842440 751053050 1502106100 3004212200