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30906225 = 3352731211
BaseRepresentation
bin111010111100…
…1011101110001
32011011012101000
41311321131301
530402444400
63022232213
7523461420
oct165713561
964135330
1030906225
111649a339
12a425669
13653160c
1441672b7
152aa7600
hex1d79771

30906225 has 96 divisors (see below), whose sum is σ = 67297280. Its totient is φ = 13608000.

The previous prime is 30906223. The next prime is 30906263. The reversal of 30906225 is 52260903.

30906225 is a `hidden beast` number, since 30 + 9 + 0 + 622 + 5 = 666.

It is not a de Polignac number, because 30906225 - 21 = 30906223 is a prime.

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 (30906223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146370 + ... + 146580.

Almost surely, 230906225 is an apocalyptic number.

30906225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

30906225 is an abundant number, since it is smaller than the sum of its proper divisors (36391055).

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

30906225 is a wasteful number, since it uses less digits than its factorization.

30906225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 30906225 is about 5559.3367410151. The cubic root of 30906225 is about 313.8209894233.

The spelling of 30906225 in words is "thirty million, nine hundred six thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 31 35 45 63 75 93 105 135 155 175 189 211 217 225 279 315 465 525 633 651 675 775 837 945 1055 1085 1395 1477 1575 1899 1953 2325 3165 3255 4185 4431 4725 5275 5425 5697 5859 6541 6975 7385 9495 9765 13293 15825 16275 19623 20925 22155 28485 29295 32705 36925 39879 45787 47475 48825 58869 66465 98115 110775 137361 142425 146475 163525 176607 199395 228935 294345 332325 412083 490575 686805 883035 996975 1144675 1236249 1471725 2060415 3434025 4415175 6181245 10302075 30906225