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215133440 = 2851311283
BaseRepresentation
bin11001101001010…
…10110100000000
3112222210220121012
430310222310000
5420033232230
633203020052
75221414124
oct1464526400
9488726535
10215133440
11100489a35
126006a628
13357555c2
1420801584
1513d48395
hexcd2ad00

215133440 has 72 divisors (see below), whose sum is σ = 519650208. Its totient is φ = 85329920.

The previous prime is 215133403. The next prime is 215133463. The reversal of 215133440 is 44331512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167039 + ... + 168321.

It is an arithmetic number, because the mean of its divisors is an integer number (7217364).

Almost surely, 2215133440 is an apocalyptic number.

215133440 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 215133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259825104).

215133440 is an abundant number, since it is smaller than the sum of its proper divisors (304516768).

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

215133440 is a wasteful number, since it uses less digits than its factorization.

215133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 215133440 is about 14667.4278590351. The cubic root of 215133440 is about 599.1965542347.

Adding to 215133440 its reverse (44331512), we get a palindrome (259464952).

The spelling of 215133440 in words is "two hundred fifteen million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 131 160 256 262 320 524 640 655 1048 1280 1283 1310 2096 2566 2620 4192 5132 5240 6415 8384 10264 10480 12830 16768 20528 20960 25660 33536 41056 41920 51320 82112 83840 102640 164224 167680 168073 205280 328448 336146 410560 672292 821120 840365 1344584 1642240 1680730 2689168 3361460 5378336 6722920 10756672 13445840 21513344 26891680 43026688 53783360 107566720 215133440