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22022070 = 2357271211
BaseRepresentation
bin101010000000…
…0011110110110
31112102211121020
41110000132312
521114201240
62104002010
7355120200
oct124003666
945384536
1022022070
1111481564
127460306
134740915
142cd3770
151e000d0
hex15007b6

22022070 has 96 divisors (see below), whose sum is σ = 62643456. Its totient is φ = 4939200.

The previous prime is 22022069. The next prime is 22022087. The reversal of 22022070 is 7022022.

It is a super-3 number, since 3×220220703 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104265 + ... + 104475.

It is an arithmetic number, because the mean of its divisors is an integer number (652536).

Almost surely, 222022070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31321728).

22022070 is an abundant number, since it is smaller than the sum of its proper divisors (40621386).

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

22022070 is a wasteful number, since it uses less digits than its factorization.

22022070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 22022070 is about 4692.7678399853. The cubic root of 22022070 is about 280.2976002478.

Adding to 22022070 its reverse (7022022), we get a palindrome (29044092).

The spelling of 22022070 in words is "twenty-two million, twenty-two thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 71 98 105 142 147 210 211 213 245 294 355 422 426 490 497 633 710 735 994 1055 1065 1266 1470 1477 1491 2110 2130 2485 2954 2982 3165 3479 4431 4970 6330 6958 7385 7455 8862 10339 10437 14770 14910 14981 17395 20678 20874 22155 29962 31017 34790 44310 44943 51695 52185 62034 74905 89886 103390 104370 104867 149810 155085 209734 224715 310170 314601 449430 524335 629202 734069 1048670 1468138 1573005 2202207 3146010 3670345 4404414 7340690 11011035 22022070