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213033024 = 26331131091
BaseRepresentation
bin11001011001010…
…10000001000000
3112211212012101000
430230222001000
5414014024044
633050012000
75164515351
oct1454520100
9484765330
10213033024
11aa284956
125b417000
133519b559
1420415d28
1513a80d69
hexcb2a040

213033024 has 112 divisors (see below), whose sum is σ = 632399040. Its totient is φ = 70318080.

The previous prime is 213033019. The next prime is 213033047. The reversal of 213033024 is 420330312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213032988 and 213033006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194719 + ... + 195809.

It is an arithmetic number, because the mean of its divisors is an integer number (5646420).

Almost surely, 2213033024 is an apocalyptic number.

213033024 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 213033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316199520).

213033024 is an abundant number, since it is smaller than the sum of its proper divisors (419366016).

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

213033024 is a wasteful number, since it uses less digits than its factorization.

213033024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 213033024 is about 14595.6508590744. The cubic root of 213033024 is about 597.2401246110.

Adding to 213033024 its reverse (420330312), we get a palindrome (633363336).

The spelling of 213033024 in words is "two hundred thirteen million, thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 113 144 192 216 226 288 339 432 452 576 678 864 904 1017 1091 1356 1728 1808 2034 2182 2712 3051 3273 3616 4068 4364 5424 6102 6546 7232 8136 8728 9819 10848 12204 13092 16272 17456 19638 21696 24408 26184 29457 32544 34912 39276 48816 52368 58914 65088 69824 78552 97632 104736 117828 123283 157104 195264 209472 235656 246566 314208 369849 471312 493132 628416 739698 942624 986264 1109547 1479396 1885248 1972528 2219094 2958792 3328641 3945056 4438188 5917584 6657282 7890112 8876376 11835168 13314564 17752752 23670336 26629128 35505504 53258256 71011008 106516512 213033024