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804532224 = 2123233281
BaseRepresentation
bin101111111101000…
…011000000000000
32002001212110201210
4233331003000000
53121430012344
6211455530120
725636260666
oct5775030000
92061773653
10804532224
11383156a71
121a5529940
13ca8aba92
1478bc8c36
154a96edb9
hex2ff43000

804532224 has 104 divisors (see below), whose sum is σ = 2162030832. Its totient is φ = 266076160.

The previous prime is 804532187. The next prime is 804532231. The reversal of 804532224 is 422235408.

It is a junction number, because it is equal to n+sod(n) for n = 804532191 and 804532200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2862964 + ... + 2863244.

It is an arithmetic number, because the mean of its divisors is an integer number (20788758).

Almost surely, 2804532224 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 804532224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081015416).

804532224 is an abundant number, since it is smaller than the sum of its proper divisors (1357498608).

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

804532224 is a wasteful number, since it uses less digits than its factorization.

804532224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 804532224 is about 28364.2772515007. The cubic root of 804532224 is about 930.0675266034.

It can be divided in two parts, 804 and 532224, that added together give a triangular number (533028 = T1032).

The spelling of 804532224 in words is "eight hundred four million, five hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 233 256 281 384 466 512 562 699 768 843 932 1024 1124 1398 1536 1686 1864 2048 2248 2796 3072 3372 3728 4096 4496 5592 6144 6744 7456 8992 11184 12288 13488 14912 17984 22368 26976 29824 35968 44736 53952 59648 65473 71936 89472 107904 119296 130946 143872 178944 196419 215808 238592 261892 287744 357888 392838 431616 477184 523784 575488 715776 785676 863232 954368 1047568 1150976 1431552 1571352 1726464 2095136 2863104 3142704 3452928 4190272 6285408 8380544 12570816 16761088 25141632 33522176 50283264 67044352 100566528 134088704 201133056 268177408 402266112 804532224