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30900224 = 2152341
BaseRepresentation
bin111010111100…
…0000000000000
32011010220010202
41311320000000
530402301344
63022144332
7523435055
oct165700000
964126122
1030900224
1116495883
12a4220a8
13652b974
14416502c
152aa594e
hex1d78000

30900224 has 64 divisors (see below), whose sum is σ = 66059280. Its totient is φ = 14417920.

The previous prime is 30900193. The next prime is 30900229. The reversal of 30900224 is 42200903.

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

It is a junction number, because it is equal to n+sod(n) for n = 30900196 and 30900205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30900229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 753644 + ... + 753684.

Almost surely, 230900224 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 30900224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33029640).

30900224 is an abundant number, since it is smaller than the sum of its proper divisors (35159056).

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

30900224 is an frugal number, since it uses more digits than its factorization.

30900224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 30900224 is about 5558.7969921558. The cubic root of 30900224 is about 313.8006767769.

The spelling of 30900224 in words is "thirty million, nine hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 41 46 64 82 92 128 164 184 256 328 368 512 656 736 943 1024 1312 1472 1886 2048 2624 2944 3772 4096 5248 5888 7544 8192 10496 11776 15088 16384 20992 23552 30176 32768 41984 47104 60352 83968 94208 120704 167936 188416 241408 335872 376832 482816 671744 753664 965632 1343488 1931264 3862528 7725056 15450112 30900224