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148010200 = 235213229151
BaseRepresentation
bin10001101001001…
…11010011011000
3101022111200211021
420310213103120
5300342311300
622404212224
73445031422
oct1064472330
9338450737
10148010200
1176603288
124169a074
1324883300
141592b812
15ced9d1a
hex8d274d8

148010200 has 144 divisors (see below), whose sum is σ = 388033200. Its totient is φ = 52416000.

The previous prime is 148010197. The next prime is 148010207. The reversal of 148010200 is 2010841.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148010207) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 980125 + ... + 980275.

It is an arithmetic number, because the mean of its divisors is an integer number (2694675).

Almost surely, 2148010200 is an apocalyptic number.

148010200 is a gapful number since it is divisible by the number (10) 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 148010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194016600).

148010200 is an abundant number, since it is smaller than the sum of its proper divisors (240023000).

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

148010200 is a wasteful number, since it uses less digits than its factorization.

148010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 148010200 is about 12165.9442707913. The cubic root of 148010200 is about 528.9693987108.

The spelling of 148010200 in words is "one hundred forty-eight million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 29 40 50 52 58 65 100 104 116 130 145 151 169 200 232 260 290 302 325 338 377 520 580 604 650 676 725 754 755 845 1160 1208 1300 1352 1450 1508 1510 1690 1885 1963 2600 2900 3016 3020 3380 3770 3775 3926 4225 4379 4901 5800 6040 6760 7540 7550 7852 8450 8758 9425 9802 9815 15080 15100 15704 16900 17516 18850 19604 19630 21895 24505 25519 30200 33800 35032 37700 39208 39260 43790 49010 49075 51038 56927 75400 78520 87580 98020 98150 102076 109475 113854 122525 127595 175160 196040 196300 204152 218950 227708 245050 255190 284635 392600 437900 455416 490100 510380 569270 637975 740051 875800 980200 1020760 1138540 1275950 1423175 1480102 2277080 2551900 2846350 2960204 3700255 5103800 5692700 5920408 7400510 11385400 14801020 18501275 29602040 37002550 74005100 148010200