Search a number
-
+
2221233621464 = 2311134371635977
BaseRepresentation
bin100000010100101011110…
…101110100100111011000
321212100101120221021020002
4200110223311310213120
5242343041301341324
64420230505152132
7316323145155014
oct40245365644730
97770346837202
102221233621464
11787024521080
122ba5a678b648
131315cc9c4ab0
1479718a19544
153cba564a3ae
hex2052bd749d8

2221233621464 has 128 divisors (see below), whose sum is σ = 5077241326080. Its totient is φ = 897489331200.

The previous prime is 2221233621457. The next prime is 2221233621491. The reversal of 2221233621464 is 4641263321222.

It is a super-2 number, since 2×22212336214642 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3174644 + ... + 3810620.

It is an arithmetic number, because the mean of its divisors is an integer number (39665947860).

Almost surely, 22221233621464 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 2221233621464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538620663040).

2221233621464 is an abundant number, since it is smaller than the sum of its proper divisors (2856007704616).

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

2221233621464 is a wasteful number, since it uses less digits than its factorization.

2221233621464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636121 (or 636117 counting only the distinct ones).

The product of its digits is 165888, while the sum is 38.

Adding to 2221233621464 its reverse (4641263321222), we get a palindrome (6862496942686).

The spelling of 2221233621464 in words is "two trillion, two hundred twenty-one billion, two hundred thirty-three million, six hundred twenty-one thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 13 22 26 43 44 52 71 86 88 104 142 143 172 284 286 344 473 559 568 572 781 923 946 1118 1144 1562 1846 1892 2236 3053 3124 3692 3784 4472 6106 6149 6248 7384 10153 12212 12298 20306 24424 24596 33583 39689 40612 49192 67166 79378 81224 134332 158756 268664 317512 436579 635977 873158 1271954 1746316 2543908 3492632 5087816 6995747 8267701 13991494 16535402 27347011 27982988 33070804 45154367 54694022 55965976 66141608 90308734 90944711 109388044 180617468 181889422 218776088 300817121 355511143 361234936 363778844 496698037 587006771 601634242 711022286 727557688 993396074 1174013542 1203268484 1422044572 1941637781 1986792148 2348027084 2406536968 2844089144 3883275562 3910622573 3973584296 4696054168 6457074481 7766551124 7821245146 12914148962 15533102248 15642490292 21358015591 25241291153 25828297924 31284980584 42716031182 50482582306 51656595848 85432062364 100965164612 170864124728 201930329224 277654202683 555308405366 1110616810732 2221233621464