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22307985 = 3257267151
BaseRepresentation
bin101010100011…
…0010010010001
31112222100210200
41111012102101
521202323420
62114045413
7360420600
oct125062221
945870720
1022307985
1111657357
127579869
134810abb
142d69a37
151e59b90
hex1546491

22307985 has 72 divisors (see below), whose sum is σ = 45953856. Its totient is φ = 9979200.

The previous prime is 22307969. The next prime is 22308001. The reversal of 22307985 is 58970322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22307969) and next prime (22308001).

It is not a de Polignac number, because 22307985 - 24 = 22307969 is a prime.

It is a super-3 number, since 3×223079853 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147660 + ... + 147810.

It is an arithmetic number, because the mean of its divisors is an integer number (638248).

Almost surely, 222307985 is an apocalyptic number.

It is an amenable number.

22307985 is an abundant number, since it is smaller than the sum of its proper divisors (23645871).

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

22307985 is a wasteful number, since it uses less digits than its factorization.

22307985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 22307985 is about 4723.1329644633. The cubic root of 22307985 is about 281.5054331289.

The spelling of 22307985 in words is "twenty-two million, three hundred seven thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 67 105 147 151 201 245 315 335 441 453 469 603 735 755 1005 1057 1359 1407 2205 2265 2345 3015 3171 3283 4221 5285 6795 7035 7399 9513 9849 10117 15855 16415 21105 22197 29547 30351 36995 47565 49245 50585 66591 70819 91053 110985 147735 151755 212457 332955 354095 455265 495733 637371 1062285 1487199 2478665 3186855 4461597 7435995 22307985