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3022223022 = 2337131514073
BaseRepresentation
bin1011010000100011…
…0111011010101110
321210121211211121000
42310020313122232
522142142114042
61215520421130
7134615320560
oct26410673256
97717754530
103022223022
111310a69985
127041777a6
13392195760
1420954d330
1512a4d374c
hexb42376ae

3022223022 has 128 divisors (see below), whose sum is σ = 8322693120. Its totient is φ = 791596800.

The previous prime is 3022223003. The next prime is 3022223027. The reversal of 3022223022 is 2203222203.

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 = 3022222986 and 3022223004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3022223027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 739978 + ... + 744050.

It is an arithmetic number, because the mean of its divisors is an integer number (65021040).

Almost surely, 23022223022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3022223022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161346560).

3022223022 is an abundant number, since it is smaller than the sum of its proper divisors (5300470098).

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

3022223022 is a wasteful number, since it uses less digits than its factorization.

3022223022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4255 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3022223022 is about 54974.7489489493. The cubic root of 3022223022 is about 1445.8020510354.

Adding to 3022223022 its reverse (2203222203), we get a palindrome (5225445225).

The spelling of 3022223022 in words is "three billion, twenty-two million, two hundred twenty-three thousand, twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 151 182 189 234 273 302 351 378 453 546 702 819 906 1057 1359 1638 1963 2114 2457 2718 3171 3926 4073 4077 4914 5889 6342 8146 8154 9513 11778 12219 13741 17667 19026 24438 27482 28511 28539 35334 36657 41223 52949 53001 57022 57078 73314 82446 85533 105898 106002 109971 123669 158847 171066 219942 247338 256599 317694 370643 371007 476541 513198 615023 741286 742014 769797 953082 1111929 1230046 1429623 1539594 1845069 2223858 2859246 3335787 3690138 4305161 5535207 6671574 7995299 8610322 10007361 11070414 12915483 15990598 16605621 20014722 23985897 25830966 33211242 38746449 47971794 55967093 71957691 77492898 111934186 116239347 143915382 167901279 215873073 232478694 335802558 431746146 503703837 1007407674 1511111511 3022223022