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3223023232 = 271113374759
BaseRepresentation
bin1100000000011011…
…0110111010000000
322022121200112200211
43000012312322000
523100043220412
61251452323504
7142604150122
oct30006667200
98277615624
103223023232
111404349070
1275b473594
133c4970050
1422809d212
1513ce49ca7
hexc01b6e80

3223023232 has 128 divisors (see below), whose sum is σ = 7748899200. Its totient is φ = 1315491840.

The previous prime is 3223023211. The next prime is 3223023233. The reversal of 3223023232 is 2323203223.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (3223023233) 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, 674869 + ... + 679627.

It is an arithmetic number, because the mean of its divisors is an integer number (60538275).

Almost surely, 23223023232 is an apocalyptic number.

3223023232 is a gapful number since it is divisible by the number (32) 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 3223023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874449600).

3223023232 is an abundant number, since it is smaller than the sum of its proper divisors (4525875968).

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

3223023232 is a wasteful number, since it uses less digits than its factorization.

3223023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4834 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

The square root of 3223023232 is about 56771.6763183896. The cubic root of 3223023232 is about 1477.1382538429.

Adding to 3223023232 its reverse (2323203223), we get a palindrome (5546226455).

Subtracting from 3223023232 its reverse (2323203223), we obtain a square (899820009 = 299972).

The spelling of 3223023232 in words is "three billion, two hundred twenty-three million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 37 44 52 64 74 88 104 128 143 148 176 208 286 296 352 407 416 481 572 592 704 814 832 962 1144 1184 1408 1628 1664 1924 2288 2368 3256 3848 4576 4736 4759 5291 6512 7696 9152 9518 10582 13024 15392 18304 19036 21164 26048 30784 38072 42328 52096 52349 61568 61867 76144 84656 104698 123734 152288 169312 176083 209396 247468 304576 338624 352166 418792 494936 609152 677248 680537 704332 837584 989872 1361074 1408664 1675168 1936913 1979744 2289079 2722148 2817328 3350336 3873826 3959488 4578158 5444296 5634656 6700672 7747652 7918976 9156316 10888592 11269312 15495304 18312632 21777184 22538624 25179869 30990608 36625264 43554368 50359738 61981216 73250528 87108736 100719476 123962432 146501056 201438952 247924864 293002112 402877904 805755808 1611511616 3223023232