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9022464 = 210321189
BaseRepresentation
bin100010011010…
…110000000000
3121222101111100
4202122300000
54302204324
6521214400
7136455363
oct42326000
917871440
109022464
115102790
123031400
131b3b949
1412ac0da
15bd34c9
hex89ac00

9022464 has 132 divisors (see below), whose sum is σ = 28739880. Its totient is φ = 2703360.

The previous prime is 9022441. The next prime is 9022471. The reversal of 9022464 is 4642209.

It is a tau number, because it is divible by the number of its divisors (132).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101332 + ... + 101420.

Almost surely, 29022464 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 9022464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14369940).

9022464 is an abundant number, since it is smaller than the sum of its proper divisors (19717416).

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

9022464 is a wasteful number, since it uses less digits than its factorization.

9022464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 9022464 is about 3003.7416666551. The cubic root of 9022464 is about 208.1813014902.

The spelling of 9022464 in words is "nine million, twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 89 96 99 128 132 144 176 178 192 198 256 264 267 288 352 356 384 396 512 528 534 576 704 712 768 792 801 979 1024 1056 1068 1152 1408 1424 1536 1584 1602 1958 2112 2136 2304 2816 2848 2937 3072 3168 3204 3916 4224 4272 4608 5632 5696 5874 6336 6408 7832 8448 8544 8811 9216 11264 11392 11748 12672 12816 15664 16896 17088 17622 22784 23496 25344 25632 31328 33792 34176 35244 45568 46992 50688 51264 62656 68352 70488 91136 93984 101376 102528 125312 136704 140976 187968 205056 250624 273408 281952 375936 410112 501248 563904 751872 820224 1002496 1127808 1503744 2255616 3007488 4511232 9022464