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203422120 = 235112320101
BaseRepresentation
bin11000001111111…
…11100110101000
3112011202220200121
430013333212220
5404034001440
632104013024
75020026256
oct1407774650
9464686617
10203422120
11a4910060
1258161174
13331b4b25
141d0335d6
1512cd334a
hexc1ff9a8

203422120 has 64 divisors (see below), whose sum is σ = 521043840. Its totient is φ = 70752000.

The previous prime is 203422103. The next prime is 203422139. The reversal of 203422120 is 21224302.

It is a junction number, because it is equal to n+sod(n) for n = 203422094 and 203422103.

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, 70 + ... + 20170.

It is an arithmetic number, because the mean of its divisors is an integer number (8141310).

Almost surely, 2203422120 is an apocalyptic number.

203422120 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 203422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260521920).

203422120 is an abundant number, since it is smaller than the sum of its proper divisors (317621720).

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

203422120 is a wasteful number, since it uses less digits than its factorization.

203422120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20146 (or 20142 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 203422120 is about 14262.6126638846. The cubic root of 203422120 is about 588.1201491407.

Adding to 203422120 its reverse (21224302), we get a palindrome (224646422).

The spelling of 203422120 in words is "two hundred three million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 20101 40202 80404 100505 160808 201010 221111 402020 442222 462323 804040 884444 924646 1105555 1768888 1849292 2211110 2311615 3698584 4422220 4623230 5085553 8844440 9246460 10171106 18492920 20342212 25427765 40684424 50855530 101711060 203422120