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2023421136 = 2431123166619
BaseRepresentation
bin111100010011010…
…1111010011010000
312020000102102222120
41320212233103100
513120443434021
6532440534240
7101066536662
oct17046572320
95200372876
102023421136
11949194280
12485781380
13263287a19
14152a34532
15bc98c2c6
hex789af4d0

2023421136 has 80 divisors (see below), whose sum is σ = 5950333440. Its totient is φ = 586495360.

The previous prime is 2023421077. The next prime is 2023421137. The reversal of 2023421136 is 6311243202.

2023421136 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×20234211363 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023421137) 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, 71166 + ... + 95453.

It is an arithmetic number, because the mean of its divisors is an integer number (74379168).

Almost surely, 22023421136 is an apocalyptic number.

It is an amenable number.

2023421136 is an abundant number, since it is smaller than the sum of its proper divisors (3926912304).

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

2023421136 is a wasteful number, since it uses less digits than its factorization.

2023421136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166664 (or 166658 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2023421136 is about 44982.4536458384. The cubic root of 2023421136 is about 1264.8201061711.

Adding to 2023421136 its reverse (6311243202), we get a palindrome (8334664338).

The spelling of 2023421136 in words is "two billion, twenty-three million, four hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 6072 12144 166619 333238 499857 666476 999714 1332952 1832809 1999428 2665904 3665618 3832237 3998856 5498427 7331236 7664474 7997712 10996854 11496711 14662472 15328948 21993708 22993422 29324944 30657896 42154607 43987416 45986844 61315792 84309214 87974832 91973688 126463821 168618428 183947376 252927642 337236856 505855284 674473712 1011710568 2023421136