Search a number
-
+
2231874432 = 2733661977
BaseRepresentation
bin1000010100000111…
…1011001110000000
312202112122222011000
42011001323032000
514032324440212
61005244452000
7106210422354
oct20501731600
95675588130
102231874432
11a45920327
1252354a000
13297511878
141725b7464
15d0e161dc
hex8507b380

2231874432 has 128 divisors (see below), whose sum is σ = 6603847200. Its totient is φ = 742072320.

The previous prime is 2231874431. The next prime is 2231874457. The reversal of 2231874432 is 2344781322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×22318744323 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231874431) 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, 2283928 + ... + 2284904.

Almost surely, 22231874432 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 2231874432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301923600).

2231874432 is an abundant number, since it is smaller than the sum of its proper divisors (4371972768).

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

2231874432 is an equidigital number, since it uses as much as digits as its factorization.

2231874432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1643 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 2231874432 is about 47242.7182960507. The cubic root of 2231874432 is about 1306.8425076883.

The spelling of 2231874432 in words is "two billion, two hundred thirty-one million, eight hundred seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 661 864 977 1152 1322 1728 1954 1983 2644 2931 3456 3908 3966 5288 5862 5949 7816 7932 8793 10576 11724 11898 15632 15864 17586 17847 21152 23448 23796 26379 31264 31728 35172 35694 42304 46896 47592 52758 62528 63456 70344 71388 84608 93792 95184 105516 125056 126912 140688 142776 187584 190368 211032 253824 281376 285552 375168 380736 422064 562752 571104 645797 761472 844128 1125504 1142208 1291594 1688256 1937391 2284416 2583188 3376512 3874782 5166376 5812173 7749564 10332752 11624346 15499128 17436519 20665504 23248692 30998256 34873038 41331008 46497384 61996512 69746076 82662016 92994768 123993024 139492152 185989536 247986048 278984304 371979072 557968608 743958144 1115937216 2231874432