Search a number
-
+
209020900 = 2252111973137
BaseRepresentation
bin11000111010101…
…10011111100100
3112120022100202211
430131112133210
5412002132100
632424013204
75115435244
oct1435263744
9476270684
10209020900
11a7a94550
125a001204
13343c530a
141da8db24
151353c1ba
hexc7567e4

209020900 has 144 divisors (see below), whose sum is σ = 531840960. Its totient is φ = 70502400.

The previous prime is 209020841. The next prime is 209020901. The reversal of 209020900 is 9020902.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (209020901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1525632 + ... + 1525768.

It is an arithmetic number, because the mean of its divisors is an integer number (3693340).

Almost surely, 2209020900 is an apocalyptic number.

209020900 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 209020900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265920480).

209020900 is an abundant number, since it is smaller than the sum of its proper divisors (322820060).

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

209020900 is a wasteful number, since it uses less digits than its factorization.

209020900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 209020900 is about 14457.5551183456. Note that the first 3 decimals coincide. The cubic root of 209020900 is about 593.4669949544.

The spelling of 209020900 in words is "two hundred nine million, twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 73 76 95 100 110 137 146 190 209 220 274 275 292 365 380 418 475 548 550 685 730 803 836 950 1045 1100 1370 1387 1460 1507 1606 1825 1900 2090 2603 2740 2774 3014 3212 3425 3650 4015 4180 5206 5225 5548 6028 6850 6935 7300 7535 8030 10001 10412 10450 13015 13700 13870 15070 15257 16060 20002 20075 20900 26030 27740 28633 30140 30514 34675 37675 40004 40150 50005 52060 57266 61028 65075 69350 75350 76285 80300 100010 110011 114532 130150 138700 143165 150700 152570 190019 200020 220022 250025 260300 286330 305140 380038 381425 440044 500050 550055 572660 715825 760076 762850 950095 1000100 1100110 1431650 1525700 1900190 2090209 2200220 2750275 2863300 3800380 4180418 4750475 5500550 8360836 9500950 10451045 11001100 19001900 20902090 41804180 52255225 104510450 209020900