Search a number
-
+
2198938700 = 22527364109
BaseRepresentation
bin1000001100010001…
…0010010001001100
312200020200122211002
42003010102101030
514000412014300
61002110515432
7105330446000
oct20304222114
95606618732
102198938700
11a29275212
12514505b78
1329074c57a
1416c082700
15cd0ac5d5
hex8311244c

2198938700 has 72 divisors (see below), whose sum is σ = 5564748000. Its totient is φ = 753910080.

The previous prime is 2198938697. The next prime is 2198938733. The reversal of 2198938700 is 78398912.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2246 + ... + 66354.

Almost surely, 22198938700 is an apocalyptic number.

2198938700 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 2198938700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782374000).

2198938700 is an abundant number, since it is smaller than the sum of its proper divisors (3365809300).

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

2198938700 is a wasteful number, since it uses less digits than its factorization.

2198938700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64144 (or 64123 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 47.

The square root of 2198938700 is about 46892.8427374583. The cubic root of 2198938700 is about 1300.3822741663.

The spelling of 2198938700 in words is "two billion, one hundred ninety-eight million, nine hundred thirty-eight thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 980 1225 1372 1715 2450 3430 4900 6860 8575 17150 34300 64109 128218 256436 320545 448763 641090 897526 1282180 1602725 1795052 2243815 3141341 3205450 4487630 6282682 6410900 8975260 11219075 12565364 15706705 21989387 22438150 31413410 43978774 44876300 62826820 78533525 87957548 109946935 157067050 219893870 314134100 439787740 549734675 1099469350 2198938700