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22993620 = 22351341719
BaseRepresentation
bin101011110110…
…1101011010100
31121021012022120
41113231223110
521341243440
62140455540
7366304536
oct127555324
947235276
1022993620
1111a854a1
12784a5b0
1349c0bc0
1430a7856
152042dd0
hex15edad4

22993620 has 96 divisors (see below), whose sum is σ = 71124480. Its totient is φ = 5514240.

The previous prime is 22993609. The next prime is 22993627. The reversal of 22993620 is 2639922.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22993627) 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, 31621 + ... + 32339.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 222993620 is an apocalyptic number.

22993620 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 22993620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35562240).

22993620 is an abundant number, since it is smaller than the sum of its proper divisors (48130860).

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

22993620 is a wasteful number, since it uses less digits than its factorization.

22993620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 22993620 is about 4795.1663161980. The cubic root of 22993620 is about 284.3604000877.

The spelling of 22993620 in words is "twenty-two million, nine hundred ninety-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 41 52 60 65 78 82 123 130 156 164 195 205 246 260 390 410 492 533 615 719 780 820 1066 1230 1438 1599 2132 2157 2460 2665 2876 3198 3595 4314 5330 6396 7190 7995 8628 9347 10660 10785 14380 15990 18694 21570 28041 29479 31980 37388 43140 46735 56082 58958 88437 93470 112164 117916 140205 147395 176874 186940 280410 294790 353748 383227 442185 560820 589580 766454 884370 1149681 1532908 1768740 1916135 2299362 3832270 4598724 5748405 7664540 11496810 22993620