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2981952225 = 34527211997
BaseRepresentation
bin1011000110111100…
…1111101011100001
321200211001212110000
42301233033223201
522101334432400
61211521330213
7133616114160
oct26157175341
97624055400
102981952225
1112a026392a
126b2796969
13386a35895
142040693d7
15126bcb600
hexb1bcfae1

2981952225 has 120 divisors (see below), whose sum is σ = 6348972608. Its totient is φ = 1355356800.

The previous prime is 2981952221. The next prime is 2981952241. The reversal of 2981952225 is 5222591892.

It is a happy number.

2981952225 is a `hidden beast` number, since 2 + 98 + 19 + 522 + 25 = 666.

It is not a de Polignac number, because 2981952225 - 22 = 2981952221 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2981952221) 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 119 ways as a sum of consecutive naturals, for example, 2990427 + ... + 2991423.

Almost surely, 22981952225 is an apocalyptic number.

2981952225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2981952225 is an abundant number, since it is smaller than the sum of its proper divisors (3367020383).

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

2981952225 is a wasteful number, since it uses less digits than its factorization.

2981952225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1223 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 2981952225 is about 54607.2543257762. The cubic root of 2981952225 is about 1439.3515961010.

The spelling of 2981952225 in words is "two billion, nine hundred eighty-one million, nine hundred fifty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 211 225 315 405 525 567 633 675 945 997 1055 1477 1575 1899 2025 2835 2991 3165 4431 4725 4985 5275 5697 6979 7385 8973 9495 13293 14175 14955 15825 17091 20937 22155 24925 26919 28485 34895 36925 39879 44865 47475 62811 66465 74775 80757 85455 104685 110775 119637 134595 142425 174475 188433 199395 210367 224325 314055 332325 403785 427275 523425 565299 598185 631101 672975 942165 996975 1051835 1472569 1570275 1893303 2018925 2826495 2990925 3155505 4417707 4710825 5259175 5679909 7362845 9466515 13253121 14132475 15777525 17039727 22088535 28399545 36814225 39759363 47332575 66265605 85198635 110442675 119278089 141997725 198796815 331328025 425993175 596390445 993984075 2981952225