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30331900 = 2252535997
BaseRepresentation
bin111001110110…
…1001111111100
32010002000112201
41303231033330
530231110100
63002041244
7515550124
oct163551774
963060481
1030331900
1116137895
12a1a9224
136390091
144057c84
1529e236a
hex1ced3fc

30331900 has 72 divisors (see below), whose sum is σ = 68901840. Its totient is φ = 11581440.

The previous prime is 30331877. The next prime is 30331901. The reversal of 30331900 is 913303.

It is a happy number.

It is a super-2 number, since 2×303319002 = 1840048315220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30331901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312652 + ... + 312748.

It is an arithmetic number, because the mean of its divisors is an integer number (956970).

Almost surely, 230331900 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 30331900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34450920).

30331900 is an abundant number, since it is smaller than the sum of its proper divisors (38569940).

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

30331900 is a wasteful number, since it uses less digits than its factorization.

30331900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

The square root of 30331900 is about 5507.4404218294. The cubic root of 30331900 is about 311.8649289321.

The spelling of 30331900 in words is "thirty million, three hundred thirty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 53 59 97 100 106 118 194 212 236 265 295 388 485 530 590 970 1060 1180 1325 1475 1940 2425 2650 2950 3127 4850 5141 5300 5723 5900 6254 9700 10282 11446 12508 15635 20564 22892 25705 28615 31270 51410 57230 62540 78175 102820 114460 128525 143075 156350 257050 286150 303319 312700 514100 572300 606638 1213276 1516595 3033190 6066380 7582975 15165950 30331900