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22146048 = 2103589
BaseRepresentation
bin101010001111…
…0110000000000
31112200010200000
41110132300000
521132133143
62110400000
7356144511
oct124366000
945603600
1022146048
1111556721
127500000
134785192
142d26a08
151e26bd3
hex151ec00

22146048 has 132 divisors (see below), whose sum is σ = 67059720. Its totient is φ = 7299072.

The previous prime is 22146043. The next prime is 22146101. The reversal of 22146048 is 84064122.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (22146041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248788 + ... + 248876.

Almost surely, 222146048 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 22146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33529860).

22146048 is an abundant number, since it is smaller than the sum of its proper divisors (44913672).

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

22146048 is an frugal number, since it uses more digits than its factorization.

22146048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 22146048 is about 4705.9587758500. The cubic root of 22146048 is about 280.8226148781.

It can be divided in two parts, 22 and 146048, that added together give a triangular number (146070 = T540).

The spelling of 22146048 in words is "twenty-two million, one hundred forty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 89 96 108 128 144 162 178 192 216 243 256 267 288 324 356 384 432 486 512 534 576 648 712 768 801 864 972 1024 1068 1152 1296 1424 1536 1602 1728 1944 2136 2304 2403 2592 2848 3072 3204 3456 3888 4272 4608 4806 5184 5696 6408 6912 7209 7776 8544 9216 9612 10368 11392 12816 13824 14418 15552 17088 19224 20736 21627 22784 25632 27648 28836 31104 34176 38448 41472 43254 45568 51264 57672 62208 68352 76896 82944 86508 91136 102528 115344 124416 136704 153792 173016 205056 230688 248832 273408 307584 346032 410112 461376 615168 692064 820224 922752 1230336 1384128 1845504 2460672 2768256 3691008 5536512 7382016 11073024 22146048