Search a number
-
+
1900302336 = 2123317183
BaseRepresentation
bin111000101000100…
…0101000000000000
311220102202100202000
41301101011000000
512342434133321
6512322024000
765043206022
oct16121050000
94812670660
101900302336
118957422a9
124504a8000
1324390b36a
14140546012
15b1c6c826
hex71445000

1900302336 has 104 divisors (see below), whose sum is σ = 5630165760. Its totient is φ = 633397248.

The previous prime is 1900302331. The next prime is 1900302361. The reversal of 1900302336 is 6332030091.

It is a super-2 number, since 2×19003023362 = 7222297936414113792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1900302331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102001 + ... + 119183.

Almost surely, 21900302336 is an apocalyptic number.

1900302336 is a gapful number since it is divisible by the number (16) 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 1900302336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815082880).

1900302336 is an abundant number, since it is smaller than the sum of its proper divisors (3729863424).

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

1900302336 is an equidigital number, since it uses as much as digits as its factorization.

1900302336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17216 (or 17188 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 1900302336 is about 43592.4573292215. The cubic root of 1900302336 is about 1238.6280212302.

The spelling of 1900302336 in words is "one billion, nine hundred million, three hundred two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 9216 12288 13824 17183 18432 27648 34366 36864 51549 55296 68732 103098 110592 137464 154647 206196 274928 309294 412392 463941 549856 618588 824784 927882 1099712 1237176 1649568 1855764 2199424 2474352 3299136 3711528 4398848 4948704 6598272 7423056 8797696 9897408 13196544 14846112 17595392 19794816 26393088 29692224 35190784 39589632 52786176 59384448 70381568 79179264 105572352 118768896 158358528 211144704 237537792 316717056 475075584 633434112 950151168 1900302336