[go: up one dir, main page]

Search a number
-
+
22103088 = 2437157419
BaseRepresentation
bin101010001010…
…0010000110000
31112120221201220
41110110100300
521124244323
62105425040
7355605330
oct124242060
945527656
1022103088
1111527417
12749b180
13476b767
142d150c0
151e190e3
hex1514430

22103088 has 80 divisors (see below), whose sum is σ = 65829120. Its totient is φ = 6259968.

The previous prime is 22103087. The next prime is 22103089. The reversal of 22103088 is 88030122.

It is an interprime number because it is at equal distance from previous prime (22103087) and next prime (22103089).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22103087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52543 + ... + 52961.

It is an arithmetic number, because the mean of its divisors is an integer number (822864).

Almost surely, 222103088 is an apocalyptic number.

22103088 is a gapful number since it is divisible by the number (28) 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 22103088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32914560).

22103088 is an abundant number, since it is smaller than the sum of its proper divisors (43726032).

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

22103088 is a wasteful number, since it uses less digits than its factorization.

22103088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 22103088 is about 4701.3921342513. The cubic root of 22103088 is about 280.6409128001.

The spelling of 22103088 in words is "twenty-two million, one hundred three thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 157 168 314 336 419 471 628 838 942 1099 1256 1257 1676 1884 2198 2512 2514 2933 3297 3352 3768 4396 5028 5866 6594 6704 7536 8792 8799 10056 11732 13188 17584 17598 20112 23464 26376 35196 46928 52752 65783 70392 131566 140784 197349 263132 394698 460481 526264 789396 920962 1052528 1381443 1578792 1841924 2762886 3157584 3683848 5525772 7367696 11051544 22103088