[go: up one dir, main page]

Search a number
-
+
233042004 = 2232133116063
BaseRepresentation
bin11011110001111…
…11000001010100
3121020111202112100
431320333001110
5434124321004
635042522100
75526552516
oct1570770124
9536452470
10233042004
1110a6009a8
1266066330
1339385aa0
1422d43bb6
15156d4739
hexde3f054

233042004 has 72 divisors (see below), whose sum is σ = 654897152. Its totient is φ = 69387840.

The previous prime is 233041997. The next prime is 233042009. The reversal of 233042004 is 400240332.

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 (233042009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6477 + ... + 22539.

Almost surely, 2233042004 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 233042004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327448576).

233042004 is an abundant number, since it is smaller than the sum of its proper divisors (421855148).

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

233042004 is a wasteful number, since it uses less digits than its factorization.

233042004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16117 (or 16112 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 233042004 is about 15265.7133472367. The cubic root of 233042004 is about 615.3819241821.

Adding to 233042004 its reverse (400240332), we get a palindrome (633282336).

The spelling of 233042004 in words is "two hundred thirty-three million, forty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3627 4836 7254 14508 16063 32126 48189 64252 96378 144567 192756 208819 289134 417638 497953 578268 626457 835276 995906 1252914 1493859 1879371 1991812 2505828 2987718 3758742 4481577 5975436 6473389 7517484 8963154 12946778 17926308 19420167 25893556 38840334 58260501 77680668 116521002 233042004