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2233389264 = 243373173967
BaseRepresentation
bin1000010100011110…
…1101000011010000
312202122111221002220
42011013231003100
514033221424024
61005341141040
7106226331651
oct20507550320
95678457086
102233389264
11a46765457
12523b5a780
13297922212
1417288d528
15d1114e79
hex851ed0d0

2233389264 has 80 divisors (see below), whose sum is σ = 5945714688. Its totient is φ = 721875456.

The previous prime is 2233389259. The next prime is 2233389271. The reversal of 2233389264 is 4629833322.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561009 + ... + 564975.

Almost surely, 22233389264 is an apocalyptic number.

2233389264 is a gapful number since it is divisible by the number (24) 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 2233389264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972857344).

2233389264 is an abundant number, since it is smaller than the sum of its proper divisors (3712325424).

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

2233389264 is a wasteful number, since it uses less digits than its factorization.

2233389264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4326 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 2233389264 is about 47258.7480155791. The cubic root of 2233389264 is about 1307.1381036398.

The spelling of 2233389264 in words is "two billion, two hundred thirty-three million, three hundred eighty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 317 444 592 634 888 951 1268 1776 1902 2536 3804 3967 5072 7608 7934 11729 11901 15216 15868 23458 23802 31736 35187 46916 47604 63472 70374 93832 95208 140748 146779 187664 190416 281496 293558 440337 562992 587116 880674 1174232 1257539 1761348 2348464 2515078 3522696 3772617 5030156 7045392 7545234 10060312 15090468 20120624 30180936 46528943 60361872 93057886 139586829 186115772 279173658 372231544 558347316 744463088 1116694632 2233389264