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22914640 = 2457172983
BaseRepresentation
bin101011101101…
…0011001010000
31121010011222101
41113122121100
521331232030
62135050144
7365525350
oct127323120
947104871
1022914640
1111a31121
127810954
134993c78
143086b60
1520297ca
hex15da650

22914640 has 160 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 7053312.

The previous prime is 22914637. The next prime is 22914641. The reversal of 22914640 is 4641922.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 22914599 and 22914608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22914641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276039 + ... + 276121.

It is an arithmetic number, because the mean of its divisors is an integer number (421848).

Almost surely, 222914640 is an apocalyptic number.

22914640 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 22914640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

22914640 is an abundant number, since it is smaller than the sum of its proper divisors (44581040).

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

22914640 is a wasteful number, since it uses less digits than its factorization.

22914640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 22914640 is about 4786.9238556718. The cubic root of 22914640 is about 284.0344466582.

The spelling of 22914640 in words is "twenty-two million, nine hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 29 34 35 40 56 58 68 70 80 83 85 112 116 119 136 140 145 166 170 203 232 238 272 280 290 332 340 406 415 464 476 493 560 580 581 595 664 680 812 830 952 986 1015 1160 1162 1190 1328 1360 1411 1624 1660 1904 1972 2030 2320 2324 2380 2407 2465 2822 2905 3248 3320 3451 3944 4060 4648 4760 4814 4930 5644 5810 6640 6902 7055 7888 8120 9296 9520 9628 9860 9877 11288 11620 12035 13804 14110 16240 16849 17255 19256 19720 19754 22576 23240 24070 27608 28220 33698 34510 38512 39440 39508 40919 46480 48140 49385 55216 56440 67396 69020 79016 81838 84245 96280 98770 112880 134792 138040 158032 163676 168490 192560 197540 204595 269584 276080 286433 327352 336980 395080 409190 572866 654704 673960 790160 818380 1145732 1347920 1432165 1636760 2291464 2864330 3273520 4582928 5728660 11457320 22914640