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22730752 = 211111009
BaseRepresentation
bin101011010110…
…1100000000000
31120202211201201
41112231200000
521304341002
62131110544
7364131262
oct126554000
946684651
1022730752
1111915a50
127742454
13492b365
143039b32
151ee0087
hex15ad800

22730752 has 48 divisors (see below), whose sum is σ = 49631400. Its totient is φ = 10321920.

The previous prime is 22730737. The next prime is 22730767. The reversal of 22730752 is 25703722.

It is an interprime number because it is at equal distance from previous prime (22730737) and next prime (22730767).

It is a self number, because there is not a number n which added to its sum of digits gives 22730752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22024 + ... + 23032.

Almost surely, 222730752 is an apocalyptic number.

22730752 is a gapful number since it is divisible by the number (22) 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 22730752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24815700).

22730752 is an abundant number, since it is smaller than the sum of its proper divisors (26900648).

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

22730752 is a wasteful number, since it uses less digits than its factorization.

22730752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 22730752 is about 4767.6778414654. The cubic root of 22730752 is about 283.2726212093.

The spelling of 22730752 in words is "twenty-two million, seven hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1009 1024 1408 2018 2048 2816 4036 5632 8072 11099 11264 16144 22198 22528 32288 44396 64576 88792 129152 177584 258304 355168 516608 710336 1033216 1420672 2066432 2841344 5682688 11365376 22730752