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30225852 = 22332391171
BaseRepresentation
bin111001101001…
…1010110111100
32002212122002000
41303103112330
530214211402
62555502300
7514626006
oct163232674
962778060
1030225852
1116075148
12a157990
136353a27
14402b376
1529c0c1c
hex1cd35bc

30225852 has 48 divisors (see below), whose sum is σ = 78758400. Its totient is φ = 10024560.

The previous prime is 30225851. The next prime is 30225883. The reversal of 30225852 is 25852203.

It is a super-3 number, since 3×302258523 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30225851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25227 + ... + 26397.

It is an arithmetic number, because the mean of its divisors is an integer number (1640800).

Almost surely, 230225852 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 30225852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39379200).

30225852 is an abundant number, since it is smaller than the sum of its proper divisors (48532548).

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

30225852 is a wasteful number, since it uses less digits than its factorization.

30225852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 30225852 is about 5497.8042889866. The cubic root of 30225852 is about 311.5010516228.

The spelling of 30225852 in words is "thirty million, two hundred twenty-five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 239 478 717 956 1171 1434 2151 2342 2868 3513 4302 4684 6453 7026 8604 10539 12906 14052 21078 25812 31617 42156 63234 126468 279869 559738 839607 1119476 1679214 2518821 3358428 5037642 7556463 10075284 15112926 30225852