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2099244420 = 22325713128159
BaseRepresentation
bin111110100011111…
…1110110110000100
312102022002122222100
41331013332312010
513244401310140
6544150032100
7103010166060
oct17507766604
95368078870
102099244420
11987a72449
124a7048630
13275bb4c80
1415cb30aa0
15c4468530
hex7d1fed84

2099244420 has 144 divisors (see below), whose sum is σ = 7837240320. Its totient is φ = 442914048.

The previous prime is 2099244359. The next prime is 2099244421. The reversal of 2099244420 is 244429902.

2099244420 is a `hidden beast` number, since 209 + 9 + 2 + 4 + 442 + 0 = 666.

It is a super-2 number, since 2×20992444202 = 8813654269802272800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2099244421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47700 + ... + 80459.

It is an arithmetic number, because the mean of its divisors is an integer number (54425280).

Almost surely, 22099244420 is an apocalyptic number.

2099244420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2099244420 is an abundant number, since it is smaller than the sum of its proper divisors (5737995900).

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

2099244420 is a wasteful number, since it uses less digits than its factorization.

2099244420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128194 (or 128189 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2099244420 is about 45817.5121541971. The cubic root of 2099244420 is about 1280.4255624361.

The spelling of 2099244420 in words is "two billion, ninety-nine million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 128159 256318 384477 512636 640795 768954 897113 1153431 1281590 1537908 1666067 1794226 1922385 2306862 2563180 2691339 3332134 3588452 3844770 4485565 4613724 4998201 5382678 5767155 6664268 7689540 8074017 8330335 8971130 9996402 10765356 11534310 11662469 13456695 14994603 16148034 16660670 17942260 19992804 23068620 23324938 24991005 26913390 29989206 32296068 33321340 34987407 40370085 46649876 49982010 53826780 58312345 59978412 69974814 74973015 80740170 99964020 104962221 116624690 139949628 149946030 161480340 174937035 209924442 233249380 299892060 349874070 419848884 524811105 699748140 1049622210 2099244420