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2230013300 = 2252231516421
BaseRepresentation
bin1000010011101011…
…0100110101110100
312202102011102011012
42010322310311310
514031340411200
61005140531352
7106155541334
oct20472646564
95672142135
102230013300
11a44869aa9
125229b0b58
1329700c6c8
141722510c4
15d0b99a35
hex84eb4d74

2230013300 has 72 divisors (see below), whose sum is σ = 5083757952. Its totient is φ = 847440000.

The previous prime is 2230013297. The next prime is 2230013321. The reversal of 2230013300 is 33100322.

2230013300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344090 + ... + 350510.

Almost surely, 22230013300 is an apocalyptic number.

2230013300 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 2230013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541878976).

2230013300 is an abundant number, since it is smaller than the sum of its proper divisors (2853744652).

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

2230013300 is a wasteful number, since it uses less digits than its factorization.

2230013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6609 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 2230013300 is about 47223.0166338407. The cubic root of 2230013300 is about 1306.4791534974.

Adding to 2230013300 its reverse (33100322), we get a palindrome (2263113622).

The spelling of 2230013300 in words is "two billion, two hundred thirty million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 151 230 302 460 575 604 755 1150 1510 2300 3020 3473 3775 6421 6946 7550 12842 13892 15100 17365 25684 32105 34730 64210 69460 86825 128420 147683 160525 173650 295366 321050 347300 590732 642100 738415 969571 1476830 1939142 2953660 3692075 3878284 4847855 7384150 9695710 14768300 19391420 22300133 24239275 44600266 48478550 89200532 96957100 111500665 223001330 446002660 557503325 1115006650 2230013300