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2023020223200 = 25325217101163643
BaseRepresentation
bin11101011100000101011…
…001101101101011100000
321011101202202110100120100
4131130011121231223200
5231121121134120300
64145210200142400
7266105220113304
oct35340531555340
97141682410510
102023020223200
1170aa5a1a3239
122880a9467a00
13118a01884412
146dcb3d23d04
1537953e84700
hex1d70566dae0

2023020223200 has 432 divisors, whose sum is σ = 7628134799376. Its totient is φ = 502708224000.

The previous prime is 2023020223193. The next prime is 2023020223201. The reversal of 2023020223200 is 23220203202.

2023020223200 is a `hidden beast` number, since 2 + 0 + 230 + 202 + 232 + 0 + 0 = 666.

It is a super-2 number, since 2×20230202232002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023020223201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12280579 + ... + 12444221.

It is an arithmetic number, because the mean of its divisors is an integer number (17657719443).

Almost surely, 22023020223200 is an apocalyptic number.

2023020223200 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 2023020223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3814067399688).

2023020223200 is an abundant number, since it is smaller than the sum of its proper divisors (5605114576176).

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

2023020223200 is a wasteful number, since it uses less digits than its factorization.

2023020223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163787 (or 163771 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 2023020223200 its reverse (23220203202), we get a palindrome (2046240426402).

The spelling of 2023020223200 in words is "two trillion, twenty-three billion, twenty million, two hundred twenty-three thousand, two hundred".