Search a number
-
+
20355248200 = 2352770920507
BaseRepresentation
bin10010111101010001…
…000111000001001000
31221112120222202011111
4102331101013001020
5313141420420300
613203455340104
71320264516640
oct227521070110
957476882144
1020355248200
1186a6009281
123b40b21634
131bc517a881
14db155b520
157e203e9ba
hex4bd447048

20355248200 has 96 divisors (see below), whose sum is σ = 54165729600. Its totient is φ = 6968759040.

The previous prime is 20355248171. The next prime is 20355248209. The reversal of 20355248200 is 284255302.

It is a super-2 number, since 2×203552482002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20355248209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 982347 + ... + 1002853.

It is an arithmetic number, because the mean of its divisors is an integer number (564226350).

Almost surely, 220355248200 is an apocalyptic number.

20355248200 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 20355248200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27082864800).

20355248200 is an abundant number, since it is smaller than the sum of its proper divisors (33810481400).

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

20355248200 is a wasteful number, since it uses less digits than its factorization.

20355248200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21239 (or 21230 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 20355248200 in words is "twenty billion, three hundred fifty-five million, two hundred forty-eight thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 709 1400 1418 2836 3545 4963 5672 7090 9926 14180 17725 19852 20507 24815 28360 35450 39704 41014 49630 70900 82028 99260 102535 124075 141800 143549 164056 198520 205070 248150 287098 410140 496300 512675 574196 717745 820280 992600 1025350 1148392 1435490 2050700 2870980 3588725 4101400 5741960 7177450 14354900 14539463 28709800 29078926 58157852 72697315 101776241 116315704 145394630 203552482 290789260 363486575 407104964 508881205 581578520 726973150 814209928 1017762410 1453946300 2035524820 2544406025 2907892600 4071049640 5088812050 10177624100 20355248200