Search a number
-
+
21222016344152 = 2313231701722321
BaseRepresentation
bin1001101001101001000101…
…01111101110000001011000
32210010210201210210210001222
410310310202233232001120
510240200142141003102
6113045132033231212
74320145230405131
oct464644257560130
983123653723058
1021222016344152
11684222aa73378
122468b76402508
13bac2c5c23b00
1453521877cc88
1526c07782caa2
hex134d22bee058

21222016344152 has 96 divisors (see below), whose sum is σ = 44541032664960. Its totient is φ = 9465281280000.

The previous prime is 21222016344143. The next prime is 21222016344167. The reversal of 21222016344152 is 25144361022212.

It is a super-2 number, since 2×212220163441522 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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, 29019152 + ... + 29741472.

It is an arithmetic number, because the mean of its divisors is an integer number (463969090260).

Almost surely, 221222016344152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222016344152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22270516332480).

21222016344152 is an abundant number, since it is smaller than the sum of its proper divisors (23319016320808).

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

21222016344152 is a wasteful number, since it uses less digits than its factorization.

21222016344152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723085 (or 723068 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 21222016344152 its reverse (25144361022212), we get a palindrome (46366377366364).

The spelling of 21222016344152 in words is "twenty-one trillion, two hundred twenty-two billion, sixteen million, three hundred forty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 169 248 338 403 676 701 806 1352 1402 1612 2804 3224 5239 5608 9113 10478 18226 20956 21731 36452 41912 43462 72904 86924 118469 173848 236938 282503 473876 565006 722321 947752 1130012 1444642 2260024 2889284 3672539 5778568 7345078 9390173 14690156 18780346 22391951 29380312 37560692 44783902 75121384 89567804 122072249 179135608 244144498 291095363 488288996 506347021 582190726 976577992 1012694042 1164381452 2025388084 2328762904 3784239719 4050776168 6582511273 7568479438 13165022546 15136958876 15696757651 26330045092 30273917752 31393515302 52660090184 62787030604 85572646549 125574061208 171145293098 204057849463 342290586196 408115698926 684581172392 816231397852 1632462795704 2652752043019 5305504086038 10611008172076 21222016344152