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2090224100 = 225220902241
BaseRepresentation
bin111110010010110…
…0100100111100100
312101200010101102102
41330211210213210
513240044132400
6543224431232
7102540416546
oct17445444744
95350111372
102090224100
11982971338
124a4018518
132740772c3
1415b863696
15c37859d5
hex7c9649e4

2090224100 has 18 divisors (see below), whose sum is σ = 4535786514. Its totient is φ = 836089600.

The previous prime is 2090224099. The next prime is 2090224117. The reversal of 2090224100 is 14220902.

It can be written as a sum of positive squares in 3 ways, for example, as 430313536 + 1659910564 = 20744^2 + 40742^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10451021 + ... + 10451220.

Almost surely, 22090224100 is an apocalyptic number.

2090224100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2090224100 is an abundant number, since it is smaller than the sum of its proper divisors (2445562414).

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

2090224100 is a wasteful number, since it uses less digits than its factorization.

2090224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20902255 (or 20902248 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2090224100 is about 45718.9687110285. The cubic root of 2090224100 is about 1278.5889602135.

The spelling of 2090224100 in words is "two billion, ninety million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20902241 41804482 83608964 104511205 209022410 418044820 522556025 1045112050 2090224100