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22714020 = 2234572003
BaseRepresentation
bin101011010100…
…1011010100100
31120201222210000
41112221122210
521303322040
62130501300
7364031430
oct126513244
946658700
1022714020
111190441a
127734830
134923864
1430339c0
151eda130
hex15a96a4

22714020 has 120 divisors (see below), whose sum is σ = 81474624. Its totient is φ = 5189184.

The previous prime is 22713973. The next prime is 22714033. The reversal of 22714020 is 2041722.

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

It is a junction number, because it is equal to n+sod(n) for n = 22713984 and 22714002.

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, 10339 + ... + 12341.

Almost surely, 222714020 is an apocalyptic number.

22714020 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 22714020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40737312).

22714020 is an abundant number, since it is smaller than the sum of its proper divisors (58760604).

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

22714020 is a wasteful number, since it uses less digits than its factorization.

22714020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 22714020 is about 4765.9227857782. The cubic root of 22714020 is about 283.2030989319.

Adding to 22714020 its reverse (2041722), we get a palindrome (24755742).

The spelling of 22714020 in words is "twenty-two million, seven hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2003 2268 2835 3780 4006 5670 6009 8012 10015 11340 12018 14021 18027 20030 24036 28042 30045 36054 40060 42063 54081 56084 60090 70105 72108 84126 90135 108162 120180 126189 140210 162243 168252 180270 210315 216324 252378 270405 280420 324486 360540 378567 420630 504756 540810 630945 648972 757134 811215 841260 1081620 1135701 1261890 1514268 1622430 1892835 2271402 2523780 3244860 3785670 4542804 5678505 7571340 11357010 22714020