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204220120 = 23513433907
BaseRepresentation
bin11000010110000…
…10011011011000
3112020021110100011
430023002123120
5404240020440
632133051304
75026561636
oct1413023330
9466243304
10204220120
11a5305665
1258486b34
1333404110
141d1a0356
1512dde9ea
hexc2c26d8

204220120 has 64 divisors (see below), whose sum is σ = 496530720. Its totient is φ = 75147264.

The previous prime is 204220103. The next prime is 204220127. The reversal of 204220120 is 21022402.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 204220120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204220127) 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, 224707 + ... + 225613.

Almost surely, 2204220120 is an apocalyptic number.

204220120 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 204220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248265360).

204220120 is an abundant number, since it is smaller than the sum of its proper divisors (292310600).

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

204220120 is a wasteful number, since it uses less digits than its factorization.

204220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 204220120 is about 14290.5605208473. The cubic root of 204220120 is about 588.8881867534. Note that the first 3 decimals are identical.

Adding to 204220120 its reverse (21022402), we get a palindrome (225242522).

The spelling of 204220120 in words is "two hundred four million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 433 520 866 907 1732 1814 2165 3464 3628 4330 4535 5629 7256 8660 9070 11258 11791 17320 18140 22516 23582 28145 36280 45032 47164 56290 58955 94328 112580 117910 225160 235820 392731 471640 785462 1570924 1963655 3141848 3927310 5105503 7854620 10211006 15709240 20422012 25527515 40844024 51055030 102110060 204220120