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22754228 = 2272176829
BaseRepresentation
bin101011011001…
…1001110110100
31120211000221012
41112303032310
521311113403
62131411352
7364256600
oct126631664
946730835
1022754228
1111931652
127753b58
134938c53
143044500
151ee6ed8
hex15b33b4

22754228 has 36 divisors (see below), whose sum is σ = 49053060. Its totient is φ = 9176832.

The previous prime is 22754219. The next prime is 22754231. The reversal of 22754228 is 82245722.

It can be written as a sum of positive squares in 2 ways, for example, as 15147664 + 7606564 = 3892^2 + 2758^2 .

It is a super-3 number, since 3×227542283 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22754194 and 22754203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83 + ... + 6746.

It is an arithmetic number, because the mean of its divisors is an integer number (1362585).

Almost surely, 222754228 is an apocalyptic number.

22754228 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 22754228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24526530).

22754228 is an abundant number, since it is smaller than the sum of its proper divisors (26298832).

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

22754228 is a wasteful number, since it uses less digits than its factorization.

22754228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6864 (or 6855 counting only the distinct ones).

The product of its digits is 17920, while the sum is 32.

The square root of 22754228 is about 4770.1392013232. The cubic root of 22754228 is about 283.3701076451.

The spelling of 22754228 in words is "twenty-two million, seven hundred fifty-four thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1666 3332 6829 13658 27316 47803 95606 116093 191212 232186 334621 464372 669242 812651 1338484 1625302 3250604 5688557 11377114 22754228