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2221414230312 = 2332823169722091
BaseRepresentation
bin100000010100110110100…
…110110010100100101000
321212100212011210010222200
4200110312212302210220
5242343424020332222
64420300440220200
7316330500260304
oct40246646624450
97770764703880
102221414230312
1178710746a192
122ba63716a660
1313162b24cb34
14797349d0d04
153cbb6423eac
hex205369b2928

2221414230312 has 96 divisors (see below), whose sum is σ = 6027462866880. Its totient is φ = 739102417920.

The previous prime is 2221414230311. The next prime is 2221414230319. The reversal of 2221414230312 is 2130324141222.

2221414230312 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 414 + 230 + 3 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (2221414230311) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 100546387 + ... + 100568477.

It is an arithmetic number, because the mean of its divisors is an integer number (62786071530).

Almost surely, 22221414230312 is an apocalyptic number.

It is an amenable number.

2221414230312 is an abundant number, since it is smaller than the sum of its proper divisors (3806048636568).

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

2221414230312 is a wasteful number, since it uses less digits than its factorization.

2221414230312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24623 (or 24616 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2221414230312 its reverse (2130324141222), we get a palindrome (4351738371534).

The spelling of 2221414230312 in words is "two trillion, two hundred twenty-one billion, four hundred fourteen million, two hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 823 1646 1697 2469 3292 3394 4938 5091 6584 6788 7407 9876 10182 13576 14814 15273 19752 20364 22091 29628 30546 40728 44182 59256 61092 66273 88364 122184 132546 176728 198819 265092 397638 530184 795276 1396631 1590552 2793262 4189893 5586524 8379786 11173048 12569679 16759572 18180893 25139358 33519144 36361786 37488427 50278716 54542679 72723572 74976854 100557432 109085358 112465281 145447144 149953708 163628037 218170716 224930562 299907416 327256074 337395843 436341432 449861124 654512148 674791686 899722248 1309024296 1349583372 2699166744 30852975421 61705950842 92558926263 123411901684 185117852526 246823803368 277676778789 370235705052 555353557578 740471410104 1110707115156 2221414230312