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22953330 = 23251931433
BaseRepresentation
bin101011110001…
…1110101110010
31121012011001100
41113203311302
521334001310
62135545230
7366046221
oct127436562
947164040
1022953330
1111a581a4
12782b216
1349a876a
143096cb8
152035ec0
hex15e3d72

22953330 has 96 divisors (see below), whose sum is σ = 64995840. Its totient is φ = 5598720.

The previous prime is 22953323. The next prime is 22953331. The reversal of 22953330 is 3335922.

It is a junction number, because it is equal to n+sod(n) for n = 22953294 and 22953303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22953331) 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, 52794 + ... + 53226.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 222953330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22953330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32497920).

22953330 is an abundant number, since it is smaller than the sum of its proper divisors (42042510).

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

22953330 is a wasteful number, since it uses less digits than its factorization.

22953330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 22953330 is about 4790.9633686765. The cubic root of 22953330 is about 284.1942151674.

It can be divided in two parts, 2295 and 3330, that added together give a square (5625 = 752).

The spelling of 22953330 in words is "twenty-two million, nine hundred fifty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 31 38 45 57 62 90 93 95 114 155 171 186 190 279 285 310 342 433 465 558 570 589 855 866 930 1178 1299 1395 1710 1767 2165 2598 2790 2945 3534 3897 4330 5301 5890 6495 7794 8227 8835 10602 12990 13423 16454 17670 19485 24681 26505 26846 38970 40269 41135 49362 53010 67115 74043 80538 82270 120807 123405 134230 148086 201345 241614 246810 255037 370215 402690 510074 604035 740430 765111 1208070 1275185 1530222 2295333 2550370 3825555 4590666 7651110 11476665 22953330