Search a number
-
+
22142220 = 22351919423
BaseRepresentation
bin101010001110…
…1110100001100
31112122221102020
41110131310030
521132022340
62110330140
7356130402
oct124356414
945587366
1022142220
1111553861
1274b9950
134783509
142d25472
151e259d0
hex151dd0c

22142220 has 48 divisors (see below), whose sum is σ = 65264640. Its totient is φ = 5593536.

The previous prime is 22142213. The next prime is 22142231. The reversal of 22142220 is 2224122.

22142220 = 4352 + 4362 + ... + 5292.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22142220.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8572 + ... + 10851.

It is an arithmetic number, because the mean of its divisors is an integer number (1359680).

Almost surely, 222142220 is an apocalyptic number.

22142220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142220 is an abundant number, since it is smaller than the sum of its proper divisors (43122420).

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

22142220 is a wasteful number, since it uses less digits than its factorization.

22142220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19454 (or 19452 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 22142220 is about 4705.5520398780. The cubic root of 22142220 is about 280.8064336478.

Adding to 22142220 its reverse (2224122), we get a palindrome (24366342).

The spelling of 22142220 in words is "twenty-two million, one hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 19423 38846 58269 77692 97115 116538 194230 233076 291345 369037 388460 582690 738074 1107111 1165380 1476148 1845185 2214222 3690370 4428444 5535555 7380740 11071110 22142220