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2154224500 = 22539744417
BaseRepresentation
bin1000000001100110…
…1101101101110100
312120010112221110121
42000121231231310
513402440141000
6553432301324
7104245414621
oct20031555564
95503487417
102154224500
11a0600482a
12501541844
132843c506c
14166163348
15c91c8b1a
hex8066db74

2154224500 has 48 divisors (see below), whose sum is σ = 4753436688. Its totient is φ = 852787200.

The previous prime is 2154224491. The next prime is 2154224509. The reversal of 2154224500 is 54224512.

It is an interprime number because it is at equal distance from previous prime (2154224491) and next prime (2154224509).

It can be written as a sum of positive squares in 8 ways, for example, as 1404450576 + 749773924 = 37476^2 + 27382^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154224509) 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, 26292 + ... + 70708.

It is an arithmetic number, because the mean of its divisors is an integer number (99029931).

Almost surely, 22154224500 is an apocalyptic number.

2154224500 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 2154224500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376718344).

2154224500 is an abundant number, since it is smaller than the sum of its proper divisors (2599212188).

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

2154224500 is a wasteful number, since it uses less digits than its factorization.

2154224500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44533 (or 44521 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 2154224500 is about 46413.6240774193. The cubic root of 2154224500 is about 1291.5076617777.

The spelling of 2154224500 in words is "two billion, one hundred fifty-four million, two hundred twenty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 125 194 250 388 485 500 970 1940 2425 4850 9700 12125 24250 44417 48500 88834 177668 222085 444170 888340 1110425 2220850 4308449 4441700 5552125 8616898 11104250 17233796 21542245 22208500 43084490 86168980 107711225 215422450 430844900 538556125 1077112250 2154224500