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22855480 = 23517192961
BaseRepresentation
bin101011100101…
…1111100111000
31121000011211021
41113023330320
521322333410
62133512224
7365161024
oct127137470
947004737
1022855480
11119a072a
1277a2674
13497306b
14306d384
152016eda
hex15cbf38

22855480 has 128 divisors (see below), whose sum is σ = 60264000. Its totient is φ = 7741440.

The previous prime is 22855477. The next prime is 22855487. The reversal of 22855480 is 8455822.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22855487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374650 + ... + 374710.

Almost surely, 222855480 is an apocalyptic number.

22855480 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 22855480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30132000).

22855480 is an abundant number, since it is smaller than the sum of its proper divisors (37408520).

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

22855480 is a wasteful number, since it uses less digits than its factorization.

22855480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 22855480 is about 4780.7405284119. The cubic root of 22855480 is about 283.7898001576.

22855480 divided by its sum of digits (34) gives a triangular number (672220 = T1159).

The spelling of 22855480 in words is "twenty-two million, eight hundred fifty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 19 20 29 34 38 40 58 61 68 76 85 95 116 122 136 145 152 170 190 232 244 290 305 323 340 380 488 493 551 580 610 646 680 760 986 1037 1102 1159 1160 1220 1292 1615 1769 1972 2074 2204 2318 2440 2465 2584 2755 3230 3538 3944 4148 4408 4636 4930 5185 5510 5795 6460 7076 8296 8845 9272 9367 9860 10370 11020 11590 12920 14152 17690 18734 19703 19720 20740 22040 23180 30073 33611 35380 37468 39406 41480 46360 46835 60146 67222 70760 74936 78812 93670 98515 120292 134444 150365 157624 168055 187340 197030 240584 268888 300730 336110 374680 394060 571387 601460 672220 788120 1142774 1202920 1344440 2285548 2856935 4571096 5713870 11427740 22855480