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20225904 = 2431034091
BaseRepresentation
bin100110100100…
…1111101110000
31102001120201120
41031021331300
520134212104
62001302240
7333626436
oct115117560
942046646
1020225904
1110465026
126934980
1342621ba
142986d56
151b97cd9
hex1349f70

20225904 has 40 divisors (see below), whose sum is σ = 52770432. Its totient is φ = 6674880.

The previous prime is 20225897. The next prime is 20225911. The reversal of 20225904 is 40952202.

It is an interprime number because it is at equal distance from previous prime (20225897) and next prime (20225911).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2899 + ... + 6989.

Almost surely, 220225904 is an apocalyptic number.

20225904 is a gapful number since it is divisible by the number (24) 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 20225904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26385216).

20225904 is an abundant number, since it is smaller than the sum of its proper divisors (32544528).

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

20225904 is a wasteful number, since it uses less digits than its factorization.

20225904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 20225904 is about 4497.3218697354. The cubic root of 20225904 is about 272.4599340695.

It can be divided in two parts, 202 and 25904, that added together give a triangular number (26106 = T228).

The spelling of 20225904 in words is "twenty million, two hundred twenty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1236 1648 2472 4091 4944 8182 12273 16364 24546 32728 49092 65456 98184 196368 421373 842746 1264119 1685492 2528238 3370984 5056476 6741968 10112952 20225904