[go: up one dir, main page]

Search a number
-
+
2202544020 = 22351131631993
BaseRepresentation
bin1000001101001000…
…0010011110010100
312200111110211101110
42003102002132110
514002322402040
61002320055020
7105403213065
oct20322023624
95614424343
102202544020
11a30307a16
12515764470
132914125b1
1416c74056c
15cd570980
hex83482794

2202544020 has 96 divisors (see below), whose sum is σ = 6263010432. Its totient is φ = 578285568.

The previous prime is 2202544013. The next prime is 2202544073. The reversal of 2202544020 is 204452022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1104144 + ... + 1106136.

It is an arithmetic number, because the mean of its divisors is an integer number (65239692).

Almost surely, 22202544020 is an apocalyptic number.

2202544020 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 2202544020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131505216).

2202544020 is an abundant number, since it is smaller than the sum of its proper divisors (4060466412).

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

2202544020 is a wasteful number, since it uses less digits than its factorization.

2202544020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 2202544020 is about 46931.2691070676. The cubic root of 2202544020 is about 1301.0925765629.

Adding to 2202544020 its reverse (204452022), we get a palindrome (2406996042).

The spelling of 2202544020 in words is "two billion, two hundred two million, five hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 163 226 326 339 452 489 565 652 678 815 978 1130 1356 1630 1695 1956 1993 2260 2445 3260 3390 3986 4890 5979 6780 7972 9780 9965 11958 18419 19930 23916 29895 36838 39860 55257 59790 73676 92095 110514 119580 184190 221028 225209 276285 324859 368380 450418 552570 649718 675627 900836 974577 1105140 1126045 1299436 1351254 1624295 1949154 2252090 2702508 3248590 3378135 3898308 4504180 4872885 6497180 6756270 9745770 13512540 19491540 36709067 73418134 110127201 146836268 183545335 220254402 367090670 440508804 550636005 734181340 1101272010 2202544020