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32223420240 = 24351121415701
BaseRepresentation
bin11110000000101010…
…100101111101010000
310002011201001100112220
4132000222211331100
51011443143421430
622445255421040
72220345360414
oct360052457520
9102151040486
1032223420240
111273630a620
1262b3684780
133066c0688b
1417b9860d44
15c88e20110
hex780aa5f50

32223420240 has 160 divisors (see below), whose sum is σ = 109043770752. Its totient is φ = 7806720000.

The previous prime is 32223420199. The next prime is 32223420247. The reversal of 32223420240 is 4202432223.

It is a happy number.

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 32223420240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32223420247) 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, 5649390 + ... + 5655090.

Almost surely, 232223420240 is an apocalyptic number.

32223420240 is a gapful number since it is divisible by the number (30) 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 32223420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54521885376).

32223420240 is an abundant number, since it is smaller than the sum of its proper divisors (76820350512).

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

32223420240 is a wasteful number, since it uses less digits than its factorization.

32223420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7869 (or 7863 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 32223420240 its reverse (4202432223), we get a palindrome (36425852463).

The spelling of 32223420240 in words is "thirty-two billion, two hundred twenty-three million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2141 2640 4282 5701 6423 8564 10705 11402 12846 17103 17128 21410 22804 23551 25692 28505 32115 34206 34256 42820 45608 47102 51384 57010 62711 64230 68412 70653 85515 85640 91216 94204 102768 114020 117755 125422 128460 136824 141306 171030 171280 188133 188408 228040 235510 250844 256920 273648 282612 313555 342060 353265 376266 376816 456080 471020 501688 513840 565224 627110 684120 706530 752532 940665 942040 1003376 1130448 1254220 1368240 1413060 1505064 1881330 1884080 2508440 2826120 3010128 3762660 5016880 5652240 7525320 12205841 15050640 24411682 36617523 48823364 61029205 73235046 97646728 122058410 134264251 146470092 183087615 195293456 244116820 268528502 292940184 366175230 402792753 488233640 537057004 585880368 671321255 732350460 805585506 976467280 1074114008 1342642510 1464700920 1611171012 2013963765 2148228016 2685285020 2929401840 3222342024 4027927530 5370570040 6444684048 8055855060 10741140080 16111710120 32223420240