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30223131456 = 263756939521
BaseRepresentation
bin11100001001011100…
…000110001101000000
32220000022011011012010
4130021130012031000
5443344110201311
621515002332520
72116646243610
oct341134061500
986008134163
1030223131456
11118aa195aa1
125a357ba140
132b0868ac4b
141669d2ca40
15bbd501da6
hex709706340

30223131456 has 112 divisors (see below), whose sum is σ = 91551922560. Its totient is φ = 8619786240.

The previous prime is 30223131443. The next prime is 30223131493. The reversal of 30223131456 is 65413132203.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744976 + ... + 784496.

It is an arithmetic number, because the mean of its divisors is an integer number (817427880).

Almost surely, 230223131456 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 30223131456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45775961280).

30223131456 is an abundant number, since it is smaller than the sum of its proper divisors (61328791104).

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

30223131456 is a wasteful number, since it uses less digits than its factorization.

30223131456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40112 (or 40102 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 30223131456 its reverse (65413132203), we get a palindrome (95636263659).

The spelling of 30223131456 in words is "thirty billion, two hundred twenty-three million, one hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 569 672 1138 1344 1707 2276 3414 3983 4552 6828 7966 9104 11949 13656 15932 18208 23898 27312 31864 36416 39521 47796 54624 63728 79042 95592 109248 118563 127456 158084 191184 237126 254912 276647 316168 382368 474252 553294 632336 764736 829941 948504 1106588 1264672 1659882 1897008 2213176 2529344 3319764 3794016 4426352 6639528 7588032 8852704 13279056 17705408 22487449 26558112 44974898 53116224 67462347 89949796 134924694 157412143 179899592 269849388 314824286 359799184 472236429 539698776 629648572 719598368 944472858 1079397552 1259297144 1439196736 1888945716 2158795104 2518594288 3777891432 4317590208 5037188576 7555782864 10074377152 15111565728 30223131456