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2023020032 = 2911418761
BaseRepresentation
bin111100010010100…
…1101011000000000
312012222200001202212
41320211031120000
513120343120112
6532424201252
7101063246405
oct17045153000
95188601685
102023020032
11948a3a990
12485609228
13263177297
1415296c2ac
15bc90d522
hex7894d600

2023020032 has 80 divisors (see below), whose sum is σ = 4517617104. Its totient is φ = 897024000.

The previous prime is 2023020023. The next prime is 2023020049. The reversal of 2023020032 is 2300203202.

It is a super-2 number, since 2×20230200322 = 8185220099746562048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2023019989 and 2023020016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226532 + ... + 235292.

Almost surely, 22023020032 is an apocalyptic number.

2023020032 is a gapful number since it is divisible by the number (22) 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 2023020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258808552).

2023020032 is an abundant number, since it is smaller than the sum of its proper divisors (2494597072).

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

2023020032 is an equidigital number, since it uses as much as digits as its factorization.

2023020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8831 (or 8815 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2023020032 is about 44977.9949753210. The cubic root of 2023020032 is about 1264.7365252956.

Adding to 2023020032 its reverse (2300203202), we get a palindrome (4323223234).

The spelling of 2023020032 in words is "two billion, twenty-three million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 256 328 352 451 512 656 704 902 1312 1408 1804 2624 2816 3608 5248 5632 7216 8761 10496 14432 17522 20992 28864 35044 57728 70088 96371 115456 140176 192742 230912 280352 359201 385484 560704 718402 770968 1121408 1436804 1541936 2242816 2873608 3083872 3951211 4485632 5747216 6167744 7902422 11494432 12335488 15804844 22988864 24670976 31609688 45977728 49341952 63219376 91955456 126438752 183910912 252877504 505755008 1011510016 2023020032