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2100226896 = 243219973291
BaseRepresentation
bin111110100101110…
…1110101101010000
312102100221120200100
41331023232231100
513300124230041
6544223052400
7103021430325
oct17513565520
95370846610
102100226896
11988583609
124a7441100
1327616a211
1415cd08b4c
15c45ae6b6
hex7d2eeb50

2100226896 has 60 divisors (see below), whose sum is σ = 5907335200. Its totient is φ = 696548160.

The previous prime is 2100226867. The next prime is 2100226897. The reversal of 2100226896 is 6986220012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2100226896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100226897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7990 + ... + 65301.

Almost surely, 22100226896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100226896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953667600).

2100226896 is an abundant number, since it is smaller than the sum of its proper divisors (3807108304).

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

2100226896 is a wasteful number, since it uses less digits than its factorization.

2100226896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73504 (or 73495 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2100226896 is about 45828.2325210126. The cubic root of 2100226896 is about 1280.6252836901.

The spelling of 2100226896 in words is "two billion, one hundred million, two hundred twenty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 199 398 597 796 1194 1592 1791 2388 3184 3582 4776 7164 9552 14328 28656 73291 146582 219873 293164 439746 586328 659619 879492 1172656 1319238 1758984 2638476 3517968 5276952 10553904 14584909 29169818 43754727 58339636 87509454 116679272 131264181 175018908 233358544 262528362 350037816 525056724 700075632 1050113448 2100226896