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2023328832 = 26373148563
BaseRepresentation
bin111100010011001…
…1000110001000000
312020000020202100220
41320212120301000
513120433010312
6532434543040
7101066003610
oct17046306100
95200222326
102023328832
11949130998
12485737a80
132632549c5
14152a0ca40
15bc96ec8c
hex78998c40

2023328832 has 112 divisors (see below), whose sum is σ = 6315651072. Its totient is φ = 559434240.

The previous prime is 2023328789. The next prime is 2023328833. The reversal of 2023328832 is 2388233202.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 2023328793 and 2023328802.

It is not an unprimeable number, because it can be changed into a prime (2023328833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17383 + ... + 65945.

Almost surely, 22023328832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023328832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157825536).

2023328832 is an abundant number, since it is smaller than the sum of its proper divisors (4292322240).

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

2023328832 is a wasteful number, since it uses less digits than its factorization.

2023328832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48616 (or 48606 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2023328832 is about 44981.4276340803. The cubic root of 2023328832 is about 1264.8008731127.

The spelling of 2023328832 in words is "two billion, twenty-three million, three hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 992 1302 1344 1488 1736 1984 2604 2976 3472 5208 5952 6944 10416 13888 20832 41664 48563 97126 145689 194252 291378 339941 388504 582756 679882 777008 1019823 1165512 1359764 1505453 1554016 2039646 2331024 2719528 3010906 3108032 4079292 4516359 4662048 5439056 6021812 8158584 9032718 9324096 10538171 10878112 12043624 16317168 18065436 21076342 21756224 24087248 31614513 32634336 36130872 42152684 48174496 63229026 65268672 72261744 84305368 96348992 126458052 144523488 168610736 252916104 289046976 337221472 505832208 674442944 1011664416 2023328832