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9975228 = 2231967653
BaseRepresentation
bin100110000011…
…010110111100
3200202210102220
4212003112330
510023201403
6553445340
7150534204
oct46032674
920683386
109975228
1156a359a
123410850
1320b3503
141479404
15d20953
hex9835bc

9975228 has 48 divisors (see below), whose sum is σ = 24904320. Its totient is φ = 3098304.

The previous prime is 9975223. The next prime is 9975253. The reversal of 9975228 is 8225799.

9975228 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 9 + 95 + 76 + 510 + 26 + 215 + 82 .

It is a self number, because there is not a number n which added to its sum of digits gives 9975228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9975223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14950 + ... + 15602.

It is an arithmetic number, because the mean of its divisors is an integer number (518840).

Almost surely, 29975228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9975228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12452160).

9975228 is an abundant number, since it is smaller than the sum of its proper divisors (14929092).

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

9975228 is a wasteful number, since it uses less digits than its factorization.

9975228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 744 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 9975228 is about 3158.3584343769. The cubic root of 9975228 is about 215.2654230499.

The spelling of 9975228 in words is "nine million, nine hundred seventy-five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 67 76 114 134 201 228 268 402 653 804 1273 1306 1959 2546 2612 3819 3918 5092 7638 7836 12407 15276 24814 37221 43751 49628 74442 87502 131253 148884 175004 262506 525012 831269 1662538 2493807 3325076 4987614 9975228