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920227220 = 2251115127701
BaseRepresentation
bin110110110110011…
…000110110010100
32101010120101102122
4312312120312110
53341034232340
6231151355112
731542542123
oct6666306624
92333511378
10920227220
11432498370
12218222a98
13118859363
148a303aba
1555bc4db5
hex36d98d94

920227220 has 48 divisors (see below), whose sum is σ = 2122194816. Its totient is φ = 332400000.

The previous prime is 920227193. The next prime is 920227229. The reversal of 920227220 is 22722029.

It is a super-3 number, since 3×9202272203 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 920227220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920227229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19370 + ... + 47070.

It is an arithmetic number, because the mean of its divisors is an integer number (44212392).

Almost surely, 2920227220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920227220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061097408).

920227220 is an abundant number, since it is smaller than the sum of its proper divisors (1201967596).

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

920227220 is a wasteful number, since it uses less digits than its factorization.

920227220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27872 (or 27870 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 920227220 is about 30335.2471557428. The cubic root of 920227220 is about 972.6688890602.

Adding to 920227220 its reverse (22722029), we get a palindrome (942949249).

The spelling of 920227220 in words is "nine hundred twenty million, two hundred twenty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 220 302 604 755 1510 1661 3020 3322 6644 8305 16610 27701 33220 55402 110804 138505 277010 304711 554020 609422 1218844 1523555 3047110 4182851 6094220 8365702 16731404 20914255 41828510 46011361 83657020 92022722 184045444 230056805 460113610 920227220