Search a number
-
+
233020302000 = 24353374125601
BaseRepresentation
bin1101100100000100010…
…1111010001010110000
3211021110120210211022120
43121001011322022300
512304211144131000
6255014213434240
722556313613023
oct3310105721260
9737416724276
10233020302000
118a906981892
12391b203b980
1318c87356505
14b3c76d91ba
1560dc3026a0
hex364117a2b0

233020302000 has 320 divisors, whose sum is σ = 790411160448. Its totient is φ = 58982400000.

The previous prime is 233020301993. The next prime is 233020302043. The reversal of 233020302000 is 203020332.

It is a super-2 number, since 2×2330203020002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9089200 + ... + 9114800.

Almost surely, 2233020302000 is an apocalyptic number.

233020302000 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 233020302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395205580224).

233020302000 is an abundant number, since it is smaller than the sum of its proper divisors (557390858448).

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

233020302000 is a wasteful number, since it uses less digits than its factorization.

233020302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25705 (or 25689 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 233020302000 its reverse (203020332), we get a palindrome (233223322332).

The spelling of 233020302000 in words is "two hundred thirty-three billion, twenty million, three hundred two thousand".