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22012928 = 21073783
BaseRepresentation
bin101001111111…
…0010000000000
31112102101001122
41103332100000
521113403203
62103451412
7355051430
oct123762000
945371048
1022012928
1111475703
127456b68
134739702
142cd02c0
151dec538
hex14fe400

22012928 has 88 divisors (see below), whose sum is σ = 52272192. Its totient is φ = 9068544.

The previous prime is 22012927. The next prime is 22012933. The reversal of 22012928 is 82921022.

It is a junction number, because it is equal to n+sod(n) for n = 22012897 and 22012906.

It is not an unprimeable number, because it can be changed into a prime (22012927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265175 + ... + 265257.

Almost surely, 222012928 is an apocalyptic number.

22012928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22012928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26136096).

22012928 is an abundant number, since it is smaller than the sum of its proper divisors (30259264).

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

22012928 is an equidigital number, since it uses as much as digits as its factorization.

22012928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 22012928 is about 4691.7936868537. The cubic root of 22012928 is about 280.2588083248.

The spelling of 22012928 in words is "twenty-two million, twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 83 112 128 148 166 224 256 259 296 332 448 512 518 581 592 664 896 1024 1036 1162 1184 1328 1792 2072 2324 2368 2656 3071 3584 4144 4648 4736 5312 6142 7168 8288 9296 9472 10624 12284 16576 18592 18944 21248 21497 24568 33152 37184 37888 42496 42994 49136 66304 74368 84992 85988 98272 132608 148736 171976 196544 265216 297472 343952 393088 594944 687904 786176 1375808 1572352 2751616 3144704 5503232 11006464 22012928