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22984950 = 2352314943
BaseRepresentation
bin101011110101…
…1100011110110
31121020202102110
41113223203312
521341004300
62140351450
7366240342
oct127534366
947222373
1022984950
1111a79a2a
127845586
1349b9c81
1430a4622
152040550
hex15eb8f6

22984950 has 48 divisors (see below), whose sum is σ = 58853376. Its totient is φ = 5930400.

The previous prime is 22984937. The next prime is 22984963. The reversal of 22984950 is 5948922.

It is an interprime number because it is at equal distance from previous prime (22984937) and next prime (22984963).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 22984899 and 22984908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2179 + ... + 7121.

It is an arithmetic number, because the mean of its divisors is an integer number (1226112).

Almost surely, 222984950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22984950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29426688).

22984950 is an abundant number, since it is smaller than the sum of its proper divisors (35868426).

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

22984950 is a wasteful number, since it uses less digits than its factorization.

22984950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4989 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 22984950 is about 4794.2621955834. The cubic root of 22984950 is about 284.3246551781.

The spelling of 22984950 in words is "twenty-two million, nine hundred eighty-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 310 465 775 930 1550 2325 4650 4943 9886 14829 24715 29658 49430 74145 123575 148290 153233 247150 306466 370725 459699 741450 766165 919398 1532330 2298495 3830825 4596990 7661650 11492475 22984950