[go: up one dir, main page]

Search a number
-
+
22058040 = 2335473911
BaseRepresentation
bin101010000100…
…1010000111000
31112111122221110
41110021100320
521121324130
62104440320
7355330104
oct124112070
945448843
1022058040
11114a6594
1274790a0
1347540c4
142d02904
151e0aab0
hex1509438

22058040 has 64 divisors (see below), whose sum is σ = 67599360. Its totient is φ = 5755520.

The previous prime is 22058039. The next prime is 22058051. The reversal of 22058040 is 4085022.

It is a junction number, because it is equal to n+sod(n) for n = 22057998 and 22058016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3685 + ... + 7595.

It is an arithmetic number, because the mean of its divisors is an integer number (1056240).

Almost surely, 222058040 is an apocalyptic number.

22058040 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 22058040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33799680).

22058040 is an abundant number, since it is smaller than the sum of its proper divisors (45541320).

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

22058040 is a wasteful number, since it uses less digits than its factorization.

22058040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 22058040 is about 4696.5987693223. The cubic root of 22058040 is about 280.4501263320.

The spelling of 22058040 in words is "twenty-two million, fifty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 3911 5640 7822 11733 15644 19555 23466 31288 39110 46932 58665 78220 93864 117330 156440 183817 234660 367634 469320 551451 735268 919085 1102902 1470536 1838170 2205804 2757255 3676340 4411608 5514510 7352680 11029020 22058040