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148553216 = 297181229
BaseRepresentation
bin10001101101010…
…11111000000000
3101100112021200222
420312223320000
5301012200331
622424002212
73452452520
oct1066537000
9340467628
10148553216
1176944259
1241900368
1324a13516
1415a2d680
15d095b7b
hex8dabe00

148553216 has 80 divisors (see below), whose sum is σ = 342582240. Its totient is φ = 63037440.

The previous prime is 148553203. The next prime is 148553221. The reversal of 148553216 is 612355841.

148553216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 648590 + ... + 648818.

It is an arithmetic number, because the mean of its divisors is an integer number (4282278).

Almost surely, 2148553216 is an apocalyptic number.

148553216 is a gapful number since it is divisible by the number (16) 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 148553216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171291120).

148553216 is an abundant number, since it is smaller than the sum of its proper divisors (194029024).

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

148553216 is an equidigital number, since it uses as much as digits as its factorization.

148553216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 419 counting only the distinct ones).

The product of its digits is 28800, while the sum is 35.

The square root of 148553216 is about 12188.2408903008. The cubic root of 148553216 is about 529.6154989790.

The spelling of 148553216 in words is "one hundred forty-eight million, five hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 181 224 229 256 362 448 458 512 724 896 916 1267 1448 1603 1792 1832 2534 2896 3206 3584 3664 5068 5792 6412 7328 10136 11584 12824 14656 20272 23168 25648 29312 40544 41449 46336 51296 58624 81088 82898 92672 102592 117248 162176 165796 205184 290143 324352 331592 410368 580286 648704 663184 820736 1160572 1326368 2321144 2652736 4642288 5305472 9284576 10610944 18569152 21221888 37138304 74276608 148553216