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4022120322 = 23211712231283
BaseRepresentation
bin1110111110111100…
…1010111110000010
3101101022022212211100
43233233022332002
531214130322242
61503035555230
7201446313213
oct35757127602
911338285740
104022120322
111784422590
12942bbbb16
134c1397c6c
142a227140a
1518819454c
hexefbcaf82

4022120322 has 96 divisors (see below), whose sum is σ = 9691508736. Its totient is φ = 1195336800.

The previous prime is 4022120309. The next prime is 4022120341. The reversal of 4022120322 is 2230212204.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4022120295 and 4022120304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3134293 + ... + 3135575.

It is an arithmetic number, because the mean of its divisors is an integer number (100953216).

Almost surely, 24022120322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022120322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845754368).

4022120322 is an abundant number, since it is smaller than the sum of its proper divisors (5669388414).

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

4022120322 is a wasteful number, since it uses less digits than its factorization.

4022120322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4022120322 is about 63420.1885995304. The cubic root of 4022120322 is about 1590.3218263949.

Adding to 4022120322 its reverse (2230212204), we get a palindrome (6252332526).

The spelling of 4022120322 in words is "four billion, twenty-two million, one hundred twenty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 213 223 426 446 639 669 781 1278 1283 1338 1562 2007 2343 2453 2566 3849 4014 4686 4906 7029 7359 7698 11547 14058 14113 14718 15833 22077 23094 28226 31666 42339 44154 47499 84678 91093 94998 127017 142497 174163 182186 254034 273279 284994 286109 348326 522489 546558 572218 819837 858327 1002023 1044978 1567467 1639674 1716654 2004046 2574981 3006069 3134934 3147199 5149962 6012138 6294398 9018207 9441597 18036414 18883194 20313739 28324791 40627478 56649582 60941217 121882434 182823651 223451129 365647302 446902258 670353387 1340706774 2011060161 4022120322