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30200192 = 271189241
BaseRepresentation
bin111001100110…
…1000110000000
32002211022212122
41303031012000
530212401232
62555143412
7514461131
oct163150600
962738778
1030200192
1116057940
12a144b68
136345149
144021c88
1529b8312
hex1ccd180

30200192 has 64 divisors (see below), whose sum is σ = 66646800. Its totient is φ = 13516800.

The previous prime is 30200167. The next prime is 30200197. The reversal of 30200192 is 29100203.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 30200192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30200197) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125192 + ... + 125432.

Almost surely, 230200192 is an apocalyptic number.

30200192 is a gapful number since it is divisible by the number (32) 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 30200192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33323400).

30200192 is an abundant number, since it is smaller than the sum of its proper divisors (36446608).

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

30200192 is a wasteful number, since it uses less digits than its factorization.

30200192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 30200192 is about 5495.4701345745. The cubic root of 30200192 is about 311.4128778750.

Adding to 30200192 its reverse (29100203), we get a palindrome (59300395).

The spelling of 30200192 in words is "thirty million, two hundred thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 89 128 176 178 241 352 356 482 704 712 964 979 1408 1424 1928 1958 2651 2848 3856 3916 5302 5696 7712 7832 10604 11392 15424 15664 21208 21449 30848 31328 42416 42898 62656 84832 85796 125312 169664 171592 235939 339328 343184 471878 686368 943756 1372736 1887512 2745472 3775024 7550048 15100096 30200192