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30225744 = 2433313761
BaseRepresentation
bin111001101001…
…1010101010000
32002212121221000
41303103111100
530214210434
62555502000
7514625463
oct163232520
962777830
1030225744
111607505a
12a157900
136353973
14402b2da
1529c0b99
hex1cd3550

30225744 has 160 divisors (see below), whose sum is σ = 93486080. Its totient is φ = 9331200.

The previous prime is 30225721. The next prime is 30225757. The reversal of 30225744 is 44752203.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495474 + ... + 495534.

It is an arithmetic number, because the mean of its divisors is an integer number (584288).

Almost surely, 230225744 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 30225744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46743040).

30225744 is an abundant number, since it is smaller than the sum of its proper divisors (63260336).

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

30225744 is a wasteful number, since it uses less digits than its factorization.

30225744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 30225744 is about 5497.7944668749. The cubic root of 30225744 is about 311.5006806142.

Adding to 30225744 its reverse (44752203), we get a palindrome (74977947).

The spelling of 30225744 in words is "thirty million, two hundred twenty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 37 48 54 61 62 72 74 93 108 111 122 124 144 148 183 186 216 222 244 248 279 296 333 366 372 432 444 488 496 549 558 592 666 732 744 837 888 976 999 1098 1116 1147 1332 1464 1488 1647 1674 1776 1891 1998 2196 2232 2257 2294 2664 2928 3294 3348 3441 3782 3996 4392 4464 4514 4588 5328 5673 6588 6696 6771 6882 7564 7992 8784 9028 9176 10323 11346 13176 13392 13542 13764 15128 15984 17019 18056 18352 20313 20646 22692 26352 27084 27528 30256 30969 34038 36112 40626 41292 45384 51057 54168 55056 60939 61938 68076 69967 81252 82584 90768 102114 108336 121878 123876 136152 139934 162504 165168 204228 209901 243756 247752 272304 279868 325008 408456 419802 487512 495504 559736 629703 816912 839604 975024 1119472 1259406 1679208 1889109 2518812 3358416 3778218 5037624 7556436 10075248 15112872 30225744