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2221440012402 = 231331729341827
BaseRepresentation
bin100000010100111000001…
…001001001000001110010
321212100220222022000100220
4200110320021021001302
5242344002120344102
64420303200553510
7316331232360612
oct40247011110162
97770828260326
102221440012402
1178711aa796a6
122ba643922896
131316336a9000
14797381c2a42
153cbb88181bc
hex20538249072

2221440012402 has 128 divisors (see below), whose sum is σ = 5271808147200. Its totient is φ = 621127922688.

The previous prime is 2221440012401. The next prime is 2221440012413. The reversal of 2221440012402 is 2042100441222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2221440012401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6327813 + ... + 6669639.

It is an arithmetic number, because the mean of its divisors is an integer number (41186001150).

Almost surely, 22221440012402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221440012402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635904073600).

2221440012402 is an abundant number, since it is smaller than the sum of its proper divisors (3050368134798).

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

2221440012402 is a wasteful number, since it uses less digits than its factorization.

2221440012402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341917 (or 341891 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2221440012402 its reverse (2042100441222), we get a palindrome (4263540453624).

The spelling of 2221440012402 in words is "two trillion, two hundred twenty-one billion, four hundred forty million, twelve thousand, four hundred two".

Divisors: 1 2 3 6 13 17 26 29 34 39 51 58 78 87 102 169 174 221 338 377 442 493 507 663 754 986 1014 1131 1326 1479 2197 2262 2873 2958 4394 4901 5746 6409 6591 8619 9802 12818 13182 14703 17238 19227 29406 37349 38454 63713 74698 83317 112047 127426 166634 191139 224094 249951 341827 382278 499902 683654 1025481 1083121 2050962 2166242 3249363 4443751 5811059 6498726 8887502 9912983 11622118 13331253 17433177 19825966 26662506 29738949 34866354 57768763 59477898 75543767 115537526 128868779 151087534 168520711 173306289 226631301 257737558 337041422 346612578 386606337 453262602 505562133 750993919 773212674 982068971 1011124266 1501987838 1675294127 1964137942 2190769243 2252981757 2946206913 3350588254 4381538486 4505963514 5025882381 5892413826 6572307729 10051764762 12766896623 13144615458 21778823651 25533793246 28480000159 38300689869 43557647302 56960000318 65336470953 76601379738 85440000477 130672941906 170880000954 370240002067 740480004134 1110720006201 2221440012402