Search a number
-
+
222405405552 = 243211580724179
BaseRepresentation
bin1100111100100001100…
…1010010101101110000
3210021001211000012211200
43033020121102231300
512120441240434202
6250101023411200
722032261520041
oct3171031225560
9707054005750
10222405405552
118635a064aa0
123712b153b00
1317c85155cb5
14aa9ba328c8
155bba482e1c
hex33c8652b70

222405405552 has 120 divisors (see below), whose sum is σ = 679155459840. Its totient is φ = 67381184640.

The previous prime is 222405405527. The next prime is 222405405569. The reversal of 222405405552 is 255504504222.

222405405552 is a `hidden beast` number, since 2 + 2 + 240 + 5 + 405 + 5 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9186199 + ... + 9210377.

It is an arithmetic number, because the mean of its divisors is an integer number (5659628832).

Almost surely, 2222405405552 is an apocalyptic number.

222405405552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

222405405552 is an abundant number, since it is smaller than the sum of its proper divisors (456750054288).

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

222405405552 is a wasteful number, since it uses less digits than its factorization.

222405405552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30011 (or 30002 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

Adding to 222405405552 its reverse (255504504222), we get a palindrome (477909909774).

The spelling of 222405405552 in words is "two hundred twenty-two billion, four hundred five million, four hundred five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 5807 11614 17421 23228 24179 34842 46456 48358 52263 63877 69684 72537 92912 96716 104526 127754 139368 145074 191631 193432 209052 217611 255508 265969 278736 290148 383262 386864 418104 435222 511016 531938 574893 580296 766524 797907 836208 870444 1022032 1063876 1149786 1160592 1533048 1595814 1740888 2127752 2299572 2393721 3066096 3191628 3481776 4255504 4599144 4787442 6383256 9198288 9574884 12766512 19149768 38299536 140407453 280814906 421222359 561629812 842444718 1123259624 1263667077 1544481983 1684889436 2246519248 2527334154 3088963966 3369778872 4633445949 5054668308 6177927932 6739557744 9266891898 10109336616 12355855864 13900337847 18533783796 20218673232 24711711728 27800675694 37067567592 55601351388 74135135184 111202702776 222405405552