Search a number
-
+
153482200 = 23522812731
BaseRepresentation
bin10010010010111…
…11001111011000
3101200210200222221
421021133033120
5303242412300
623121353424
73542401654
oct1111371730
9350720887
10153482200
11797004a3
1243498874
1325a4ab91
1416553a64
15d71b31a
hex925f3d8

153482200 has 48 divisors (see below), whose sum is σ = 358247160. Its totient is φ = 61152000.

The previous prime is 153482159. The next prime is 153482201. The reversal of 153482200 is 2284351.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153482201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54835 + ... + 57565.

Almost surely, 2153482200 is an apocalyptic number.

153482200 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 153482200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179123580).

153482200 is an abundant number, since it is smaller than the sum of its proper divisors (204764960).

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

153482200 is a wasteful number, since it uses less digits than its factorization.

153482200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 153482200 is about 12388.7933229996. The cubic root of 153482200 is about 535.4094167153.

The spelling of 153482200 in words is "one hundred fifty-three million, four hundred eighty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 281 562 1124 1405 2248 2731 2810 5462 5620 7025 10924 11240 13655 14050 21848 27310 28100 54620 56200 68275 109240 136550 273100 546200 767411 1534822 3069644 3837055 6139288 7674110 15348220 19185275 30696440 38370550 76741100 153482200