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22953240 = 2333553401
BaseRepresentation
bin101011110001…
…1110100011000
31121012010221000
41113203310120
521334000430
62135545000
7366046032
oct127436430
947163830
1022953240
1111a58122
12782b160
1349a86cb
143096c52
152035e60
hex15e3d18

22953240 has 128 divisors (see below), whose sum is σ = 78148800. Its totient is φ = 5990400.

The previous prime is 22953221. The next prime is 22953253. The reversal of 22953240 is 4235922.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 57040 + ... + 57440.

Almost surely, 222953240 is an apocalyptic number.

22953240 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 22953240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39074400).

22953240 is an abundant number, since it is smaller than the sum of its proper divisors (55195560).

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

22953240 is a wasteful number, since it uses less digits than its factorization.

22953240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 22953240 is about 4790.9539759843. The cubic root of 22953240 is about 284.1938437251.

The spelling of 22953240 in words is "twenty-two million, nine hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 90 106 108 120 135 159 180 212 216 265 270 318 360 401 424 477 530 540 636 795 802 954 1060 1080 1203 1272 1431 1590 1604 1908 2005 2120 2385 2406 2862 3180 3208 3609 3816 4010 4770 4812 5724 6015 6360 7155 7218 8020 9540 9624 10827 11448 12030 14310 14436 16040 18045 19080 21253 21654 24060 28620 28872 36090 42506 43308 48120 54135 57240 63759 72180 85012 86616 106265 108270 127518 144360 170024 191277 212530 216540 255036 318795 382554 425060 433080 510072 573831 637590 765108 850120 956385 1147662 1275180 1530216 1912770 2295324 2550360 2869155 3825540 4590648 5738310 7651080 11476620 22953240