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22913340 = 22353197127
BaseRepresentation
bin101011101101…
…0000100111100
31121010010012020
41113122010330
521331211330
62135040140
7365521512
oct127320474
947103166
1022913340
1111a3014a
127810050
1349934b8
1430864b2
152029210
hex15da13c

22913340 has 96 divisors (see below), whose sum is σ = 67436544. Its totient is φ = 5806080.

The previous prime is 22913329. The next prime is 22913347. The reversal of 22913340 is 4331922.

It is a super-2 number, since 2×229133402 = 1050042299911200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22913340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22913347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180357 + ... + 180483.

It is an arithmetic number, because the mean of its divisors is an integer number (702464).

Almost surely, 222913340 is an apocalyptic number.

22913340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22913340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33718272).

22913340 is an abundant number, since it is smaller than the sum of its proper divisors (44523204).

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

22913340 is a wasteful number, since it uses less digits than its factorization.

22913340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 22913340 is about 4786.7880671699. The cubic root of 22913340 is about 284.0290752485.

The spelling of 22913340 in words is "twenty-two million, nine hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 97 124 127 155 186 194 254 291 310 372 381 388 465 485 508 582 620 635 762 930 970 1164 1270 1455 1524 1860 1905 1940 2540 2910 3007 3810 3937 5820 6014 7620 7874 9021 11811 12028 12319 15035 15748 18042 19685 23622 24638 30070 36084 36957 39370 45105 47244 49276 59055 60140 61595 73914 78740 90210 118110 123190 147828 180420 184785 236220 246380 369570 381889 739140 763778 1145667 1527556 1909445 2291334 3818890 4582668 5728335 7637780 11456670 22913340