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40022664 = 233111979101
BaseRepresentation
bin1001100010101…
…1001010001000
32210022100202220
42120223022020
540221211124
63545454040
7664121103
oct230531210
983270686
1040022664
1120656690
12114a1320
1383a3c66
14545b73a
1537a8879
hex262b288

40022664 has 128 divisors (see below), whose sum is σ = 117504000. Its totient is φ = 11232000.

The previous prime is 40022659. The next prime is 40022693. The reversal of 40022664 is 46622004.

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

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, 396214 + ... + 396314.

It is an arithmetic number, because the mean of its divisors is an integer number (918000).

Almost surely, 240022664 is an apocalyptic number.

40022664 is a gapful number since it is divisible by the number (44) 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 40022664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58752000).

40022664 is an abundant number, since it is smaller than the sum of its proper divisors (77481336).

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

40022664 is a wasteful number, since it uses less digits than its factorization.

40022664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 40022664 is about 6326.3468131300. The cubic root of 40022664 is about 342.0597686314.

Adding to 40022664 its reverse (46622004), we get a palindrome (86644668).

It can be divided in two parts, 4002 and 2664, that added together give a palindrome (6666).

The spelling of 40022664 in words is "forty million, twenty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 79 88 101 114 132 152 158 202 209 228 237 264 303 316 404 418 456 474 606 627 632 808 836 869 948 1111 1212 1254 1501 1672 1738 1896 1919 2222 2424 2508 2607 3002 3333 3476 3838 4444 4503 5016 5214 5757 6004 6666 6952 7676 7979 8888 9006 10428 11514 12008 13332 15352 15958 16511 18012 20856 21109 23028 23937 26664 31916 33022 36024 42218 46056 47874 49533 63327 63832 66044 84436 87769 95748 99066 126654 132088 151601 168872 175538 191496 198132 253308 263307 303202 351076 396264 454803 506616 526614 606404 702152 909606 1053228 1212808 1667611 1819212 2106456 3335222 3638424 5002833 6670444 10005666 13340888 20011332 40022664