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2084198900 = 225273780471
BaseRepresentation
bin111110000111010…
…0101100111110100
312101020210021101212
41330032211213310
513232023331100
6542451340552
7102435253430
oct17416454764
95336707355
102084198900
1197a526533
124a1bb1758
13272a479b4
1415ab359c0
15c2e95635
hex7c3a59f4

2084198900 has 72 divisors (see below), whose sum is σ = 5308576896. Its totient is φ = 695260800.

The previous prime is 2084198899. The next prime is 2084198927. The reversal of 2084198900 is 98914802.

It is a super-2 number, since 2×20841989002 = 8687770109522420000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14336 + ... + 66135.

Almost surely, 22084198900 is an apocalyptic number.

2084198900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2084198900 is an abundant number, since it is smaller than the sum of its proper divisors (3224377996).

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

2084198900 is a wasteful number, since it uses less digits than its factorization.

2084198900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80529 (or 80522 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 2084198900 is about 45653.0272818791. The cubic root of 2084198900 is about 1277.3592406726.

The spelling of 2084198900 in words is "two billion, eighty-four million, one hundred ninety-eight thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 140 148 175 185 259 350 370 518 700 740 925 1036 1295 1850 2590 3700 5180 6475 12950 25900 80471 160942 321884 402355 563297 804710 1126594 1609420 2011775 2253188 2816485 2977427 4023550 5632970 5954854 8047100 11265940 11909708 14082425 14887135 20841989 28164850 29774270 41683978 56329700 59548540 74435675 83367956 104209945 148871350 208419890 297742700 416839780 521049725 1042099450 2084198900