Search a number
-
+
18922272 = 253533719
BaseRepresentation
bin100100000101…
…1101100100000
31022121100110220
41020023230200
514321003042
61513323040
7316556655
oct110135440
938540426
1018922272
11a754646
126406480
133bc6a15
142727c2c
1519db8ec
hex120bb20

18922272 has 48 divisors (see below), whose sum is σ = 50621760. Its totient is φ = 6186752.

The previous prime is 18922243. The next prime is 18922273. The reversal of 18922272 is 27222981.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18922273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3229 + ... + 6947.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 218922272 is an apocalyptic number.

18922272 is a gapful number since it is divisible by the number (12) 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 18922272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25310880).

18922272 is an abundant number, since it is smaller than the sum of its proper divisors (31699488).

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

18922272 is a wasteful number, since it uses less digits than its factorization.

18922272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3777 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 18922272 is about 4349.9737930245. The cubic root of 18922272 is about 266.4757911849.

The spelling of 18922272 in words is "eighteen million, nine hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 3719 5088 7438 11157 14876 22314 29752 44628 59504 89256 119008 178512 197107 357024 394214 591321 788428 1182642 1576856 2365284 3153712 4730568 6307424 9461136 18922272