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2254200500 = 225341109961
BaseRepresentation
bin1000011001011100…
…0101111010110100
312211002200020202102
42012113011322310
514104033404000
61011403201232
7106601250056
oct20627057264
95732606672
102254200500
11a5748a222
1252ab16218
1329c02a966
141755498d6
15d2d763d5
hex865c5eb4

2254200500 has 48 divisors (see below), whose sum is σ = 5043297168. Its totient is φ = 879680000.

The previous prime is 2254200499. The next prime is 2254200547. The reversal of 2254200500 is 50024522.

2254200500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 626400784 + 1627799716 = 25028^2 + 40346^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 34481 + ... + 75480.

It is an arithmetic number, because the mean of its divisors is an integer number (105068691).

Almost surely, 22254200500 is an apocalyptic number.

2254200500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2254200500 is an abundant number, since it is smaller than the sum of its proper divisors (2789096668).

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

2254200500 is a wasteful number, since it uses less digits than its factorization.

2254200500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110021 (or 110009 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 2254200500 is about 47478.4214143647. The cubic root of 2254200500 is about 1311.1856290171.

The spelling of 2254200500 in words is "two billion, two hundred fifty-four million, two hundred thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 164 205 250 410 500 820 1025 2050 4100 5125 10250 20500 109961 219922 439844 549805 1099610 2199220 2749025 4508401 5498050 9016802 10996100 13745125 18033604 22542005 27490250 45084010 54980500 90168020 112710025 225420050 450840100 563550125 1127100250 2254200500