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40073220 = 223251137547
BaseRepresentation
bin1001100011011…
…1100000000100
32210101221010100
42120313200010
540224320340
63550524100
7664421355
oct230674004
983357110
1040073220
1120690670
1211506630
1383c0c85
145471d2c
1537b8830
hex2637804

40073220 has 144 divisors (see below), whose sum is σ = 136438848. Its totient is φ = 9434880.

The previous prime is 40073207. The next prime is 40073221. The reversal of 40073220 is 2237004.

It is a happy number.

It is a super-2 number, since 2×400732202 = 3211725922336800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40073193 and 40073202.

It is not an unprimeable number, because it can be changed into a prime (40073221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72987 + ... + 73533.

It is an arithmetic number, because the mean of its divisors is an integer number (947492).

Almost surely, 240073220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40073220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68219424).

40073220 is an abundant number, since it is smaller than the sum of its proper divisors (96365628).

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

40073220 is a wasteful number, since it uses less digits than its factorization.

40073220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 40073220 is about 6330.3412230306. The cubic root of 40073220 is about 342.2037362034.

It can be divided in two parts, 4007 and 3220, that added together give a palindrome (7227).

The spelling of 40073220 in words is "forty million, seventy-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 547 555 660 666 740 814 990 1094 1110 1221 1332 1628 1641 1665 1980 2035 2188 2220 2442 2735 3282 3330 3663 4070 4884 4923 5470 6017 6105 6564 6660 7326 8140 8205 9846 10940 12034 12210 14652 16410 18051 18315 19692 20239 24068 24420 24615 30085 32820 36102 36630 40478 49230 54153 60170 60717 72204 73260 80956 90255 98460 101195 108306 120340 121434 180510 182151 202390 216612 222629 242868 270765 303585 361020 364302 404780 445258 541530 607170 667887 728604 890516 910755 1083060 1113145 1214340 1335774 1821510 2003661 2226290 2671548 3339435 3643020 4007322 4452580 6678870 8014644 10018305 13357740 20036610 40073220