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22728456 = 23321731599
BaseRepresentation
bin101011010110…
…0111100001000
31120202201120200
41112230330020
521304302311
62131052200
7364121502
oct126547410
946681520
1022728456
1111914253
127741060
13492a2ba
143038d72
151ede556
hex15acf08

22728456 has 96 divisors (see below), whose sum is σ = 67392000. Its totient is φ = 6888960.

The previous prime is 22728443. The next prime is 22728457. The reversal of 22728456 is 65482722.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22728456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22728457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37645 + ... + 38243.

It is an arithmetic number, because the mean of its divisors is an integer number (702000).

Almost surely, 222728456 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 22728456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33696000).

22728456 is an abundant number, since it is smaller than the sum of its proper divisors (44663544).

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

22728456 is a wasteful number, since it uses less digits than its factorization.

22728456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 652 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 22728456 is about 4767.4370473033. The cubic root of 22728456 is about 283.2630832371.

The spelling of 22728456 in words is "twenty-two million, seven hundred twenty-eight thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 124 136 153 186 204 248 279 306 372 408 527 558 599 612 744 1054 1116 1198 1224 1581 1797 2108 2232 2396 3162 3594 4216 4743 4792 5391 6324 7188 9486 10183 10782 12648 14376 18569 18972 20366 21564 30549 37138 37944 40732 43128 55707 61098 74276 81464 91647 111414 122196 148552 167121 183294 222828 244392 315673 334242 366588 445656 631346 668484 733176 947019 1262692 1336968 1894038 2525384 2841057 3788076 5682114 7576152 11364228 22728456