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30422656 = 2711173141
BaseRepresentation
bin111010000001…
…1011010000000
32010020122001001
41310003122000
530242011111
63004021344
7516405535
oct164033200
963218031
1030422656
1116199aa0
12a231854
1363c2494
14407cd8c
152a0e1c1
hex1d03680

30422656 has 128 divisors (see below), whose sum is σ = 74027520. Its totient is φ = 12288000.

The previous prime is 30422641. The next prime is 30422659. The reversal of 30422656 is 65622403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (30422659) 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, 741996 + ... + 742036.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 230422656 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 30422656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013760).

30422656 is an abundant number, since it is smaller than the sum of its proper divisors (43604864).

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

30422656 is a wasteful number, since it uses less digits than its factorization.

30422656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 30422656 is about 5515.6736669241. The cubic root of 30422656 is about 312.1756626400.

The spelling of 30422656 in words is "thirty million, four hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 17 22 31 32 34 41 44 62 64 68 82 88 124 128 136 164 176 187 248 272 328 341 352 374 451 496 527 544 656 682 697 704 748 902 992 1054 1088 1271 1312 1364 1394 1408 1496 1804 1984 2108 2176 2542 2624 2728 2788 2992 3608 3968 4216 5084 5248 5456 5576 5797 5984 7216 7667 8432 10168 10912 11152 11594 11968 13981 14432 15334 16864 20336 21607 21824 22304 23188 23936 27962 28864 30668 33728 40672 43214 43648 44608 46376 55924 57728 61336 67456 81344 86428 89216 92752 111848 122672 162688 172856 185504 223696 237677 245344 345712 371008 447392 475354 490688 691424 742016 894784 950708 981376 1382848 1789568 1901416 2765696 3802832 7605664 15211328 30422656