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22046040 = 23335137149
BaseRepresentation
bin101010000011…
…0010101011000
31112111001111000
41110012111120
521120433130
62104305000
7355250112
oct124062530
945431430
1022046040
1111498575
127472160
13474b7c3
142cdc3b2
151e07260
hex1506558

22046040 has 128 divisors (see below), whose sum is σ = 74520000. Its totient is φ = 5796864.

The previous prime is 22046033. The next prime is 22046047. The reversal of 22046040 is 4064022.

It is an interprime number because it is at equal distance from previous prime (22046033) and next prime (22046047).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22046047) 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, 147886 + ... + 148034.

Almost surely, 222046040 is an apocalyptic number.

22046040 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 22046040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37260000).

22046040 is an abundant number, since it is smaller than the sum of its proper divisors (52473960).

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

22046040 is a wasteful number, since it uses less digits than its factorization.

22046040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22046040 is about 4695.3210752834. The cubic root of 22046040 is about 280.3992603441.

The spelling of 22046040 in words is "twenty-two million, forty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 137 149 180 216 270 274 298 360 411 447 540 548 596 685 745 822 894 1080 1096 1192 1233 1341 1370 1490 1644 1788 2055 2235 2466 2682 2740 2980 3288 3576 3699 4023 4110 4470 4932 5364 5480 5960 6165 6705 7398 8046 8220 8940 9864 10728 12330 13410 14796 16092 16440 17880 18495 20115 20413 24660 26820 29592 32184 36990 40230 40826 49320 53640 61239 73980 80460 81652 102065 122478 147960 160920 163304 183717 204130 244956 306195 367434 408260 489912 551151 612390 734868 816520 918585 1102302 1224780 1469736 1837170 2204604 2449560 2755755 3674340 4409208 5511510 7348680 11023020 22046040