Search a number
-
+
23213033020 = 2251964395003
BaseRepresentation
bin10101100111100110…
…101100011000111100
32012220202102020221201
4111213212230120330
5340020014024040
614355223505244
71451145345052
oct254746543074
965822366851
1023213033020
119932174311
1245b9bb8224
13225c25a6c8
1411a2d041d2
1590cd90a9a
hex5679ac63c

23213033020 has 48 divisors (see below), whose sum is σ = 51393363840. Its totient is φ = 8782744896.

The previous prime is 23213033009. The next prime is 23213033047. The reversal of 23213033020 is 2033031232.

It is a happy number.

It is a super-2 number, since 2×232130330202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196839 + ... + 291841.

It is an arithmetic number, because the mean of its divisors is an integer number (1070695080).

Almost surely, 223213033020 is an apocalyptic number.

23213033020 is a gapful number since it is divisible by the number (20) 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 23213033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25696681920).

23213033020 is an abundant number, since it is smaller than the sum of its proper divisors (28180330820).

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

23213033020 is a wasteful number, since it uses less digits than its factorization.

23213033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95674 (or 95672 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 23213033020 its reverse (2033031232), we get a palindrome (25246064252).

The spelling of 23213033020 in words is "twenty-three billion, two hundred thirteen million, thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 643 1286 2572 3215 6430 12217 12860 24434 48868 61085 95003 122170 190006 244340 380012 475015 950030 1805057 1900060 3610114 7220228 9025285 18050570 36101140 61086929 122173858 244347716 305434645 610869290 1160651651 1221738580 2321303302 4642606604 5803258255 11606516510 23213033020