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22014180 = 22345107127
BaseRepresentation
bin101001111111…
…0100011100100
31112102102210000
41103332203210
521113423210
62103501300
7355055166
oct123764344
945372700
1022014180
1111476641
127457830
13473a156
142cd0936
151decac0
hex14fe8e4

22014180 has 120 divisors (see below), whose sum is σ = 70253568. Its totient is φ = 5769792.

The previous prime is 22014131. The next prime is 22014191. The reversal of 22014180 is 8141022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 173277 + ... + 173403.

Almost surely, 222014180 is an apocalyptic number.

22014180 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 22014180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35126784).

22014180 is an abundant number, since it is smaller than the sum of its proper divisors (48239388).

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

22014180 is a wasteful number, since it uses less digits than its factorization.

22014180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 22014180 is about 4691.9271094082. The cubic root of 22014180 is about 280.2641215265.

It can be divided in two parts, 220 and 14180, that added together give a square (14400 = 1202).

The spelling of 22014180 in words is "twenty-two million, fourteen thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 107 108 127 135 162 180 214 254 270 321 324 381 405 428 508 535 540 635 642 762 810 963 1070 1143 1270 1284 1524 1605 1620 1905 1926 2140 2286 2540 2889 3210 3429 3810 3852 4572 4815 5715 5778 6420 6858 7620 8667 9630 10287 11430 11556 13589 13716 14445 17145 17334 19260 20574 22860 27178 28890 34290 34668 40767 41148 43335 51435 54356 57780 67945 68580 81534 86670 102870 122301 135890 163068 173340 203835 205740 244602 271780 366903 407670 489204 611505 733806 815340 1100709 1223010 1467612 1834515 2201418 2446020 3669030 4402836 5503545 7338060 11007090 22014180