Search a number
-
+
22035325440 = 293511325391
BaseRepresentation
bin10100100001011010…
…000110001000000000
32002212200100111212110
4110201122012020000
5330112020403230
614042313255320
71410025114212
oct244132061000
962780314773
1022035325440
119388404167
12432b704540
13210226cc0b
1410d07385b2
1588e7aa4b0
hex521686200

22035325440 has 160 divisors (see below), whose sum is σ = 71070379776. Its totient is φ = 5823856640.

The previous prime is 22035325399. The next prime is 22035325457. The reversal of 22035325440 is 4452353022.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×220353254402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22035325398 and 22035325407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 855145 + ... + 880535.

Almost surely, 222035325440 is an apocalyptic number.

22035325440 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 22035325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35535189888).

22035325440 is an abundant number, since it is smaller than the sum of its proper divisors (49035054336).

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

22035325440 is a wasteful number, since it uses less digits than its factorization.

22035325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25530 (or 25514 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 22035325440 its reverse (4452353022), we get a palindrome (26487678462).

The spelling of 22035325440 in words is "twenty-two billion, thirty-five million, three hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 113 120 128 160 192 226 240 256 320 339 384 452 480 512 565 640 678 768 904 960 1130 1280 1356 1536 1695 1808 1920 2260 2560 2712 3390 3616 3840 4520 5424 6780 7232 7680 9040 10848 13560 14464 18080 21696 25391 27120 28928 36160 43392 50782 54240 57856 72320 76173 86784 101564 108480 126955 144640 152346 173568 203128 216960 253910 289280 304692 380865 406256 433920 507820 609384 761730 812512 867840 1015640 1218768 1523460 1625024 2031280 2437536 2869183 3046920 3250048 4062560 4875072 5738366 6093840 6500096 8125120 8607549 9750144 11476732 12187680 13000192 14345915 16250240 17215098 19500288 22953464 24375360 28691830 32500480 34430196 39000576 43037745 45906928 48750720 57383660 65000960 68860392 86075490 91813856 97501440 114767320 137720784 172150980 183627712 195002880 229534640 275441568 344301960 367255424 459069280 550883136 688603920 734510848 918138560 1101766272 1377207840 1469021696 1836277120 2203532544 2754415680 3672554240 4407065088 5508831360 7345108480 11017662720 22035325440