Search a number
-
+
21224522542212 = 223211187328615739
BaseRepresentation
bin1001101001101101110000…
…01000000110110010000100
32210011001012110122211111100
410310312320020012302010
510240220310232322322
6113050224441540100
74320264311630043
oct464667010066204
983131173584440
1021224522542212
1168432a6720040
1224695557a4630
13bac605213442
145353b556455a
1526c17287edac
hex134db8206c84

21224522542212 has 72 divisors (see below), whose sum is σ = 58559479261920. Its totient is φ = 6428239384320.

The previous prime is 21224522542129. The next prime is 21224522542243.

21224522542212 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 4 + 5 + 225 + 422 + 1 + 2 = 666.

21224522542212 is nontrivially palindromic in base 10.

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

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, 13566162 + ... + 15049577.

It is an arithmetic number, because the mean of its divisors is an integer number (813326100860).

Almost surely, 221224522542212 is an apocalyptic number.

21224522542212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21224522542212 is an abundant number, since it is smaller than the sum of its proper divisors (37334956719708).

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

21224522542212 is a wasteful number, since it uses less digits than its factorization.

21224522542212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28617633 (or 28617628 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

It can be divided in two parts, 2122452 and 2542212, that added together give a palindrome (4664664).

The spelling of 21224522542212 in words is "twenty-one trillion, two hundred twenty-four billion, five hundred twenty-two million, five hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1873 3746 5619 7492 11238 16857 20603 22476 33714 41206 61809 67428 82412 123618 185427 247236 370854 741708 28615739 57231478 85847217 114462956 171694434 257541651 314773129 343388868 515083302 629546258 944319387 1030166604 1259092516 1888638774 2832958161 3777277548 5665916322 11331832644 53597279147 107194558294 160791837441 214389116588 321583674882 482375512323 589570070617 643167349764 964751024646 1179140141234 1768710211851 1929502049292 2358280282468 3537420423702 5306130635553 7074840847404 10612261271106 21224522542212