Search a number
-
+
149225300 = 22527297351
BaseRepresentation
bin10001110010011…
…11111101010100
3101101210102121222
420321033331110
5301200202200
622450225512
73461252120
oct1071177524
9341712558
10149225300
11772631a4
1241b85298
1324bba3c3
1415b66580
15d179d85
hex8e4ff54

149225300 has 72 divisors (see below), whose sum is σ = 382892160. Its totient is φ = 49392000.

The previous prime is 149225299. The next prime is 149225309. The reversal of 149225300 is 3522941.

It is a self number, because there is not a number n which added to its sum of digits gives 149225300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149225309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16625 + ... + 23975.

Almost surely, 2149225300 is an apocalyptic number.

149225300 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 149225300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191446080).

149225300 is an abundant number, since it is smaller than the sum of its proper divisors (233666860).

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

149225300 is a wasteful number, since it uses less digits than its factorization.

149225300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7401 (or 7394 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 149225300 is about 12215.7807773388. The cubic root of 149225300 is about 530.4129924466.

The spelling of 149225300 in words is "one hundred forty-nine million, two hundred twenty-five thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 700 725 812 1015 1450 2030 2900 4060 5075 7351 10150 14702 20300 29404 36755 51457 73510 102914 147020 183775 205828 213179 257285 367550 426358 514570 735100 852716 1029140 1065895 1286425 1492253 2131790 2572850 2984506 4263580 5145700 5329475 5969012 7461265 10658950 14922530 21317900 29845060 37306325 74612650 149225300