Search a number
-
+
22328040 = 23357191399
BaseRepresentation
bin101010100101…
…1001011101000
31120000101022110
41111023023220
521203444130
62114322320
7360533220
oct125131350
946011273
1022328040
1111670429
1275893a0
134819c77
142d73080
151e60ab0
hex154b2e8

22328040 has 128 divisors (see below), whose sum is σ = 80640000. Its totient is φ = 4831488.

The previous prime is 22328039. The next prime is 22328041. The reversal of 22328040 is 4082322.

It is an interprime number because it is at equal distance from previous prime (22328039) and next prime (22328041).

It is a super-3 number, since 3×223280403 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 22327998 and 22328016.

It is not an unprimeable number, because it can be changed into a prime (22328041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15261 + ... + 16659.

It is an arithmetic number, because the mean of its divisors is an integer number (630000).

Almost surely, 222328040 is an apocalyptic number.

22328040 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 22328040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320000).

22328040 is an abundant number, since it is smaller than the sum of its proper divisors (58311960).

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

22328040 is a wasteful number, since it uses less digits than its factorization.

22328040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 22328040 is about 4725.2555486450. The cubic root of 22328040 is about 281.5897661678.

The spelling of 22328040 in words is "twenty-two million, three hundred twenty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1399 1596 1995 2280 2660 2798 3192 3990 4197 5320 5596 6995 7980 8394 9793 11192 13990 15960 16788 19586 20985 26581 27980 29379 33576 39172 41970 48965 53162 55960 58758 78344 79743 83940 97930 106324 117516 132905 146895 159486 167880 186067 195860 212648 235032 265810 293790 318972 372134 391720 398715 531620 558201 587580 637944 744268 797430 930335 1063240 1116402 1175160 1488536 1594860 1860670 2232804 2791005 3189720 3721340 4465608 5582010 7442680 11164020 22328040