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22243133040 = 24354110122381
BaseRepresentation
bin10100101101110010…
…110100011001110000
32010102011101020022020
4110231302310121300
5331023220224130
614115055311440
71415130340242
oct245562643160
963364336266
1022243133040
11948473a087
12438921b580
13213632bbab
141110190092
158a2b57e10
hex52dcb4670

22243133040 has 160 divisors (see below), whose sum is σ = 71338059072. Its totient is φ = 5729280000.

The previous prime is 22243132981. The next prime is 22243133117. The reversal of 22243133040 is 4033134222.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22243133040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 982650 + ... + 1005030.

Almost surely, 222243133040 is an apocalyptic number.

22243133040 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 22243133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35669029536).

22243133040 is an abundant number, since it is smaller than the sum of its proper divisors (49094926032).

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

22243133040 is a wasteful number, since it uses less digits than its factorization.

22243133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22539 (or 22533 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 22243133040 its reverse (4033134222), we get a palindrome (26276267262).

The spelling of 22243133040 in words is "twenty-two billion, two hundred forty-three million, one hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 101 120 123 164 202 205 240 246 303 328 404 410 492 505 606 615 656 808 820 984 1010 1212 1230 1515 1616 1640 1968 2020 2424 2460 3030 3280 4040 4141 4848 4920 6060 8080 8282 9840 12120 12423 16564 20705 22381 24240 24846 33128 41410 44762 49692 62115 66256 67143 82820 89524 99384 111905 124230 134286 165640 179048 198768 223810 248460 268572 331280 335715 358096 447620 496920 537144 671430 895240 917621 993840 1074288 1342860 1790480 1835242 2260481 2685720 2752863 3670484 4520962 4588105 5371440 5505726 6781443 7340968 9041924 9176210 11011452 11302405 13562886 13764315 14681936 18083848 18352420 22022904 22604810 27125772 27528630 33907215 36167696 36704840 44045808 45209620 54251544 55057260 67814430 73409680 90419240 92679721 108503088 110114520 135628860 180838480 185359442 220229040 271257720 278039163 370718884 463398605 542515440 556078326 741437768 926797210 1112156652 1390195815 1482875536 1853594420 2224313304 2780391630 3707188840 4448626608 5560783260 7414377680 11121566520 22243133040