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2099930625 = 3254132472
BaseRepresentation
bin111110100101010…
…0110011000000001
312102100101112021100
41331022212120001
513300040240000
6544212445013
7103016054502
oct17512463001
95370345240
102099930625
119883a0a61
124a7319769
13276095400
1415cc6cba9
15c4551a00
hex7d2a6601

2099930625 has 135 divisors (see below), whose sum is σ = 4193503743. Its totient is φ = 1011816000.

The previous prime is 2099930611. The next prime is 2099930633. The reversal of 2099930625 is 5260399902.

The square root of 2099930625 is 45825.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 2074164849 + 25765776 = 45543^2 + 5076^2 .

It is not a de Polignac number, because 2099930625 - 223 = 2091542017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 44679352 + ... + 44679398.

Almost surely, 22099930625 is an apocalyptic number.

2099930625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2099930625 is the 45825-th square number.

2099930625 is the 22913-rd centered octagonal number.

It is an amenable number.

2099930625 is a deficient number, since it is larger than the sum of its proper divisors (2093573118).

2099930625 is an equidigital number, since it uses as much as digits as its factorization.

2099930625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The cubic root of 2099930625 is about 1280.5650632164.

The spelling of 2099930625 in words is "two billion, ninety-nine million, nine hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 47 65 75 117 125 141 169 195 225 235 325 375 423 507 585 611 625 705 845 975 1125 1175 1521 1625 1833 1875 2115 2209 2535 2925 3055 3525 4225 4875 5499 5625 5875 6627 7605 7943 8125 9165 10575 11045 12675 14625 15275 17625 19881 21125 23829 24375 27495 28717 29375 33135 38025 39715 45825 52875 55225 63375 71487 73125 76375 86151 88125 99405 105625 119145 137475 143585 165675 190125 198575 229125 258453 264375 276125 316875 357435 373321 381875 430755 497025 595725 687375 717925 828375 950625 992875 1119963 1145625 1292265 1380625 1787175 1866605 2153775 2485125 2978625 3359889 3436875 3589625 4141875 4964375 5599815 6461325 8935875 9333025 10768875 12425625 14893125 16799445 17948125 27999075 32306625 44679375 46665125 53844375 83997225 139995375 161533125 233325625 419986125 699976875 2099930625