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2223002302300 = 2252132131802441
BaseRepresentation
bin100000010110010101010…
…000110011011101011100
321212111221212000120012201
4200112111100303131130
5242410202042133200
64421122210141244
7316415032540633
oct40262520633534
97774855016181
102223002302300
1178785193417a
122ba9bab81824
1313182226a5c0
147984589c51a
153cc5aa68c6a
hex2059543375c

2223002302300 has 72 divisors (see below), whose sum is σ = 5197429673072. Its totient is φ = 820414656000.

The previous prime is 2223002302259. The next prime is 2223002302303. The reversal of 2223002302300 is 32032003222.

It is a super-2 number, since 2×22230023023002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223002302303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2369080 + ... + 3171520.

Almost surely, 22223002302300 is an apocalyptic number.

2223002302300 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 2223002302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598714836536).

2223002302300 is an abundant number, since it is smaller than the sum of its proper divisors (2974427370772).

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

2223002302300 is a wasteful number, since it uses less digits than its factorization.

2223002302300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804599 (or 804592 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

Adding to 2223002302300 its reverse (32032003222), we get a palindrome (2255034305522).

The spelling of 2223002302300 in words is "two trillion, two hundred twenty-three billion, two million, three hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2131 4262 8524 10655 21310 27703 42620 53275 55406 106550 110812 138515 213100 277030 554060 692575 802441 1385150 1604882 2770300 3209764 4012205 8024410 10431733 16048820 20061025 20863466 40122050 41726932 52158665 80244100 104317330 208634660 260793325 521586650 1043173300 1710001771 3420003542 6840007084 8550008855 17100017710 22230023023 34200035420 42750044275 44460046046 85500088550 88920092092 111150115115 171000177100 222300230230 444600460460 555750575575 1111501151150 2223002302300