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123023220 = 223517294159
BaseRepresentation
bin1110101010100…
…10111101110100
322120111020010120
413111102331310
5222443220340
620112451540
73022452165
oct725227564
9276436116
10123023220
1163497191
1235249bb0
131c645008
14124a576c
15ac014d0
hex7552f74

123023220 has 96 divisors (see below), whose sum is σ = 377395200. Its totient is φ = 29804544.

The previous prime is 123023183. The next prime is 123023227. The reversal of 123023220 is 22320321.

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 123023220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123023227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27501 + ... + 31659.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2123023220 is an apocalyptic number.

123023220 is a gapful number since it is divisible by the number (10) 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 123023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

123023220 is an abundant number, since it is smaller than the sum of its proper divisors (254371980).

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

123023220 is a wasteful number, since it uses less digits than its factorization.

123023220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4217 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 123023220 is about 11091.5832954543. The cubic root of 123023220 is about 497.3502760645.

Adding to 123023220 its reverse (22320321), we get a palindrome (145343541).

The spelling of 123023220 in words is "one hundred twenty-three million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 85 87 102 116 145 170 174 204 255 290 340 348 435 493 510 580 870 986 1020 1479 1740 1972 2465 2958 4159 4930 5916 7395 8318 9860 12477 14790 16636 20795 24954 29580 41590 49908 62385 70703 83180 120611 124770 141406 212109 241222 249540 282812 353515 361833 424218 482444 603055 707030 723666 848436 1060545 1206110 1414060 1447332 1809165 2050387 2121090 2412220 3618330 4100774 4242180 6151161 7236660 8201548 10251935 12302322 20503870 24604644 30755805 41007740 61511610 123023220