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22028352 = 263313701
BaseRepresentation
bin101010000001…
…0000001000000
31112110011012220
41110002001000
521114401402
62104051040
7355144413
oct124020100
945404186
1022028352
1111486255
127463a80
134743738
142cd5b7a
151e01dbc
hex1502040

22028352 has 56 divisors (see below), whose sum is σ = 60179712. Its totient is φ = 7104000.

The previous prime is 22028351. The next prime is 22028359. The reversal of 22028352 is 25382022.

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

It is not an unprimeable number, because it can be changed into a prime (22028351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4102 + ... + 7802.

Almost surely, 222028352 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 22028352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30089856).

22028352 is an abundant number, since it is smaller than the sum of its proper divisors (38151360).

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

22028352 is a wasteful number, since it uses less digits than its factorization.

22028352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 22028352 is about 4693.4371200646. The cubic root of 22028352 is about 280.3242502118.

The spelling of 22028352 in words is "twenty-two million, twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 3701 5952 7402 11103 14804 22206 29608 44412 59216 88824 114731 118432 177648 229462 236864 344193 355296 458924 688386 710592 917848 1376772 1835696 2753544 3671392 5507088 7342784 11014176 22028352