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2230321000 = 23539722993
BaseRepresentation
bin1000010011101111…
…1111111101101000
312202102202001020111
42010323333331220
514031430233000
61005151304104
7106161262405
oct20473777550
95672661214
102230321000
11a44a5a1a6
12522b1b034
132970b978b
141722d12ac
15d0c0acba
hex84efff68

2230321000 has 64 divisors (see below), whose sum is σ = 5272984080. Its totient is φ = 882892800.

The previous prime is 2230320977. The next prime is 2230321007. The reversal of 2230321000 is 1230322.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 230979204 + 1999341796 = 15198^2 + 44714^2 .

It is not an unprimeable number, because it can be changed into a prime (2230321007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85504 + ... + 108496.

Almost surely, 22230321000 is an apocalyptic number.

2230321000 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 2230321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636492040).

2230321000 is an abundant number, since it is smaller than the sum of its proper divisors (3042663080).

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

2230321000 is a wasteful number, since it uses less digits than its factorization.

2230321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23111 (or 23097 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2230321000 is about 47226.2744666568. The cubic root of 2230321000 is about 1306.5392406050.

Adding to 2230321000 its reverse (1230322), we get a palindrome (2231551322).

The spelling of 2230321000 in words is "two billion, two hundred thirty million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 125 194 200 250 388 485 500 776 970 1000 1940 2425 3880 4850 9700 12125 19400 22993 24250 45986 48500 91972 97000 114965 183944 229930 459860 574825 919720 1149650 2230321 2299300 2874125 4460642 4598600 5748250 8921284 11151605 11496500 17842568 22303210 22993000 44606420 55758025 89212840 111516050 223032100 278790125 446064200 557580250 1115160500 2230321000