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215053312 = 210232397
BaseRepresentation
bin11001101000101…
…11010000000000
3112222122211200111
430310113100000
5420023201222
633201201104
75220631405
oct1464272000
9488584614
10215053312
11100434811
1260030194
1335727ca6
14207c02ac
1513d2e777
hexcd17400

215053312 has 66 divisors (see below), whose sum is σ = 450532418. Its totient is φ = 102592512.

The previous prime is 215053303. The next prime is 215053327. The reversal of 215053312 is 213350512.

It can be written as a sum of positive squares in only one way, i.e., 195552256 + 19501056 = 13984^2 + 4416^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 541498 + ... + 541894.

Almost surely, 2215053312 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 215053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225266209).

215053312 is an abundant number, since it is smaller than the sum of its proper divisors (235479106).

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

215053312 is an equidigital number, since it uses as much as digits as its factorization.

215053312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 215053312 is about 14664.6961100461. The cubic root of 215053312 is about 599.1221533054.

The spelling of 215053312 in words is "two hundred fifteen million, fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 397 512 529 736 794 1024 1058 1472 1588 2116 2944 3176 4232 5888 6352 8464 9131 11776 12704 16928 18262 23552 25408 33856 36524 50816 67712 73048 101632 135424 146096 203264 210013 270848 292192 406528 420026 541696 584384 840052 1168768 1680104 2337536 3360208 4675072 6720416 9350144 13440832 26881664 53763328 107526656 215053312