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2023132302 = 23423599203
BaseRepresentation
bin111100010010110…
…1000110010001110
312012222212202210000
41320211220302032
513120410213202
6532430425130
7101064224622
oct17045506216
95188782700
102023132302
11949007274
124856621a6
132631b6409
1415299b182
15bc93191c
hex78968c8e

2023132302 has 80 divisors (see below), whose sum is σ = 4811114880. Its totient is φ = 634054608.

The previous prime is 2023132273. The next prime is 2023132303. The reversal of 2023132302 is 2032313202.

It is a happy number.

It is a super-2 number, since 2×20231323022 = 8186128622791638408, which 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 (2023132303) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 215233 + ... + 224435.

It is an arithmetic number, because the mean of its divisors is an integer number (60138936).

Almost surely, 22023132302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023132302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405557440).

2023132302 is an abundant number, since it is smaller than the sum of its proper divisors (2787982578).

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

2023132302 is a wasteful number, since it uses less digits than its factorization.

2023132302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9299 (or 9290 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2023132302 is about 44979.2430127498. The cubic root of 2023132302 is about 1264.7599209023.

Adding to 2023132302 its reverse (2032313202), we get a palindrome (4055445504).

Subtracting 2023132302 from its reverse (2032313202), we obtain a square (9180900 = 30302).

The spelling of 2023132302 in words is "two billion, twenty-three million, one hundred thirty-two thousand, three hundred two".

Divisors: 1 2 3 6 9 18 23 27 46 54 59 69 81 118 138 162 177 207 354 414 531 621 1062 1242 1357 1593 1863 2714 3186 3726 4071 4779 8142 9203 9558 12213 18406 24426 27609 36639 55218 73278 82827 109917 165654 211669 219834 248481 423338 496962 542977 635007 745443 1085954 1270014 1490886 1628931 1905021 3257862 3810042 4886793 5715063 9773586 11430126 12488471 14660379 17145189 24976942 29320758 34290378 37465413 43981137 74930826 87962274 112396239 224792478 337188717 674377434 1011566151 2023132302