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22940106 = 2371719289
BaseRepresentation
bin101011110000…
…0100111001010
31121011110220120
41113200213022
521333040411
62135404110
7365662530
oct127404712
947143816
1022940106
1111a49272
127823636
1349a2737
143092150
152032106
hex15e09ca

22940106 has 96 divisors (see below), whose sum is σ = 59253120. Its totient is φ = 5778432.

The previous prime is 22940053. The next prime is 22940107. The reversal of 22940106 is 60104922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22940107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257710 + ... + 257798.

It is an arithmetic number, because the mean of its divisors is an integer number (617220).

Almost surely, 222940106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22940106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29626560).

22940106 is an abundant number, since it is smaller than the sum of its proper divisors (36313014).

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

22940106 is a wasteful number, since it uses less digits than its factorization.

22940106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 22940106 is about 4789.5830716253. The cubic root of 22940106 is about 284.1396274996.

The spelling of 22940106 in words is "twenty-two million, nine hundred forty thousand, one hundred six".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 51 57 89 102 114 119 133 178 238 266 267 323 357 361 399 534 623 646 714 722 798 969 1083 1246 1513 1691 1869 1938 2166 2261 2527 3026 3382 3738 4522 4539 5054 5073 6137 6783 7581 9078 10146 10591 11837 12274 13566 15162 18411 21182 23674 28747 31773 32129 35511 36822 42959 57494 63546 64258 71022 85918 86241 96387 128877 172482 192774 201229 224903 257754 402458 449806 546193 603687 674709 1092386 1207374 1349418 1638579 3277158 3823351 7646702 11470053 22940106