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9022272 = 26373137
BaseRepresentation
bin100010011010…
…101101000000
3121222101020020
4202122231000
54302203042
6521213440
7136455000
oct42325500
917871206
109022272
115102626
123031280
131b3b82c
1412ac000
15bd33ec
hex89ab40

9022272 has 112 divisors (see below), whose sum is σ = 28041600. Its totient is φ = 2558976.

The previous prime is 9022201. The next prime is 9022297. The reversal of 9022272 is 2722209.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65788 + ... + 65924.

Almost surely, 29022272 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 9022272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14020800).

9022272 is an abundant number, since it is smaller than the sum of its proper divisors (19019328).

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

9022272 is a wasteful number, since it uses less digits than its factorization.

9022272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 9022272 is about 3003.7097063465. The cubic root of 9022272 is about 208.1798247652.

The spelling of 9022272 in words is "nine million, twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 137 147 168 192 196 224 274 294 336 343 392 411 448 548 588 672 686 784 822 959 1029 1096 1176 1344 1372 1568 1644 1918 2058 2192 2352 2744 2877 3136 3288 3836 4116 4384 4704 5488 5754 6576 6713 7672 8232 8768 9408 10976 11508 13152 13426 15344 16464 20139 21952 23016 26304 26852 30688 32928 40278 46032 46991 53704 61376 65856 80556 92064 93982 107408 140973 161112 184128 187964 214816 281946 322224 375928 429632 563892 644448 751856 1127784 1288896 1503712 2255568 3007424 4511136 9022272