Search a number
-
+
2153602150200 = 2333523491142737
BaseRepresentation
bin11111010101101100101…
…100001110111100111000
321121212211020101112222000
4133111230230032330320
5240241034122301300
64325203504101000
7311410161144654
oct37255454167470
97555736345860
102153602150200
117603792a6776
122a9471004760
13128112197547
14763407cda64
153b047e45c00
hex1f56cb0ef38

2153602150200 has 192 divisors, whose sum is σ = 7439224380000. Its totient is φ = 572647864320.

The previous prime is 2153602150177. The next prime is 2153602150207. The reversal of 2153602150200 is 20512063512.

It is a happy number.

2153602150200 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 602 + 1 + 50 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153602150207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1313232 + ... + 2455968.

Almost surely, 22153602150200 is an apocalyptic number.

2153602150200 is a gapful number since it is divisible by the number (20) 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 2153602150200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719612190000).

2153602150200 is an abundant number, since it is smaller than the sum of its proper divisors (5285622229800).

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

2153602150200 is a wasteful number, since it uses less digits than its factorization.

2153602150200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143111 (or 1143096 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 2153602150200 in words is "two trillion, one hundred fifty-three billion, six hundred two million, one hundred fifty thousand, two hundred".