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30249216 = 283219691
BaseRepresentation
bin111001101100…
…1000100000000
32002220211010100
41303121010000
530220433331
63000202400
7515054064
oct163310400
962824110
1030249216
1116090758
12a169400
13636155a
144035aa4
1529c7ae6
hex1cd9100

30249216 has 108 divisors (see below), whose sum is σ = 91939120. Its totient is φ = 9538560.

The previous prime is 30249199. The next prime is 30249217. The reversal of 30249216 is 61294203.

It is a super-2 number, since 2×302492162 = 1830030137229312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30249216.

It is not an unprimeable number, because it can be changed into a prime (30249217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43431 + ... + 44121.

Almost surely, 230249216 is an apocalyptic number.

30249216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30249216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45969560).

30249216 is an abundant number, since it is smaller than the sum of its proper divisors (61689904).

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

30249216 is a wasteful number, since it uses less digits than its factorization.

30249216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30249216 is about 5499.9287268109. The cubic root of 30249216 is about 311.5812923843.

The spelling of 30249216 in words is "thirty million, two hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 691 768 912 1152 1216 1368 1382 1824 2073 2304 2432 2736 2764 3648 4146 4864 5472 5528 6219 7296 8292 10944 11056 12438 13129 14592 16584 21888 22112 24876 26258 33168 39387 43776 44224 49752 52516 66336 78774 88448 99504 105032 118161 132672 157548 176896 199008 210064 236322 265344 315096 398016 420128 472644 530688 630192 796032 840256 945288 1260384 1592064 1680512 1890576 2520768 3361024 3781152 5041536 7562304 10083072 15124608 30249216