Search a number
-
+
202113024 = 2183257
BaseRepresentation
bin11000000110000…
…00000000000000
3112002022101221120
430003000000000
5403220104044
632015552240
75002634541
oct1403000000
9462271846
10202113024
11a40a6563
125782b680
1332b47009
141cbb24c8
1512b25519
hexc0c0000

202113024 has 76 divisors (see below), whose sum is σ = 541064184. Its totient is φ = 67108864.

The previous prime is 202113001. The next prime is 202113031. The reversal of 202113024 is 420311202.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 202112994 and 202113012.

It is an unprimeable number.

In principle, a polygon with 202113024 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 786304 + ... + 786560.

Almost surely, 2202113024 is an apocalyptic number.

202113024 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 202113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270532092).

202113024 is an abundant number, since it is smaller than the sum of its proper divisors (338951160).

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

202113024 is an frugal number, since it uses more digits than its factorization.

202113024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 202113024 is about 14216.6460179608. The cubic root of 202113024 is about 586.8558434909.

Adding to 202113024 its reverse (420311202), we get a palindrome (622424226).

The spelling of 202113024 in words is "two hundred two million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 257 384 512 514 768 771 1024 1028 1536 1542 2048 2056 3072 3084 4096 4112 6144 6168 8192 8224 12288 12336 16384 16448 24576 24672 32768 32896 49152 49344 65536 65792 98304 98688 131072 131584 196608 197376 262144 263168 393216 394752 526336 786432 789504 1052672 1579008 2105344 3158016 4210688 6316032 8421376 12632064 16842752 25264128 33685504 50528256 67371008 101056512 202113024