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22850640 = 2433571149
BaseRepresentation
bin101011100101…
…0110001010000
31120222221012000
41113022301100
521322210030
62133434000
7365140641
oct127126120
946887160
1022850640
111199802a
12779b900
134970ab7
14306b6c8
152015860
hex15cac50

22850640 has 160 divisors (see below), whose sum is σ = 80352000. Its totient is φ = 5967360.

The previous prime is 22850629. The next prime is 22850657. The reversal of 22850640 is 4605822.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153286 + ... + 153434.

It is an arithmetic number, because the mean of its divisors is an integer number (502200).

Almost surely, 222850640 is an apocalyptic number.

22850640 is a gapful number since it is divisible by the number (20) 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 22850640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176000).

22850640 is an abundant number, since it is smaller than the sum of its proper divisors (57501360).

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

22850640 is a wasteful number, since it uses less digits than its factorization.

22850640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 22850640 is about 4780.2343038809. The cubic root of 22850640 is about 283.7697664560.

The spelling of 22850640 in words is "twenty-two million, eight hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 71 72 80 90 108 120 135 142 144 149 180 213 216 240 270 284 298 355 360 426 432 447 540 568 596 639 710 720 745 852 894 1065 1080 1136 1192 1278 1341 1420 1490 1704 1788 1917 2130 2160 2235 2384 2556 2682 2840 2980 3195 3408 3576 3834 4023 4260 4470 5112 5364 5680 5960 6390 6705 7152 7668 8046 8520 8940 9585 10224 10579 10728 11920 12780 13410 15336 16092 17040 17880 19170 20115 21158 21456 25560 26820 30672 31737 32184 35760 38340 40230 42316 51120 52895 53640 63474 64368 76680 80460 84632 95211 105790 107280 126948 153360 158685 160920 169264 190422 211580 253896 285633 317370 321840 380844 423160 476055 507792 571266 634740 761688 846320 952110 1142532 1269480 1428165 1523376 1904220 2285064 2538960 2856330 3808440 4570128 5712660 7616880 11425320 22850640