Search a number
-
+
148226208 = 25313731627
BaseRepresentation
bin10001101010111…
…00000010100000
3101022220200010120
420311130002200
5300421214313
622413000240
73446621244
oct1065340240
9338820116
10148226208
11767405a9
1241783080
132492a720
1415986424
15d02dd23
hex8d5c0a0

148226208 has 96 divisors (see below), whose sum is σ = 425025216. Its totient is φ = 44955648.

The previous prime is 148226189. The next prime is 148226249. The reversal of 148226208 is 802622841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90291 + ... + 91917.

It is an arithmetic number, because the mean of its divisors is an integer number (4427346).

Almost surely, 2148226208 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 148226208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212512608).

148226208 is an abundant number, since it is smaller than the sum of its proper divisors (276799008).

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

148226208 is a wasteful number, since it uses less digits than its factorization.

148226208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 148226208 is about 12174.8186023448. The cubic root of 148226208 is about 529.2266018899.

The spelling of 148226208 in words is "one hundred forty-eight million, two hundred twenty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 73 78 96 104 146 156 208 219 292 312 416 438 584 624 876 949 1168 1248 1627 1752 1898 2336 2847 3254 3504 3796 4881 5694 6508 7008 7592 9762 11388 13016 15184 19524 21151 22776 26032 30368 39048 42302 45552 52064 63453 78096 84604 91104 118771 126906 156192 169208 237542 253812 338416 356313 475084 507624 676832 712626 950168 1015248 1425252 1544023 1900336 2030496 2850504 3088046 3800672 4632069 5701008 6176092 9264138 11402016 12352184 18528276 24704368 37056552 49408736 74113104 148226208