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74226278025 = 32524124432
BaseRepresentation
bin100010100100000111…
…0110001111010001001
321002120221211121102100
41011020032301322021
52204003411344100
654033222424013
75235252644634
oct1051016617211
9232527747370
1074226278025
112952a887329
1212476292009
136ccbbc4193
14384202cc1b
151de6681400
hex11483b1e89

74226278025 has 81 divisors (see below), whose sum is σ = 136577521717. Its totient is φ = 38534620800.

The previous prime is 74226278023. The next prime is 74226278117. The reversal of 74226278025 is 52087262247.

The square root of 74226278025 is 272445.

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

It can be written as a sum of positive squares in 4 ways, for example, as 31243037049 + 42983240976 = 176757^2 + 207324^2 .

It is not a de Polignac number, because 74226278025 - 21 = 74226278023 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 not an unprimeable number, because it can be changed into a prime (74226278023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 167553454 + ... + 167553896.

Almost surely, 274226278025 is an apocalyptic number.

74226278025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

74226278025 is the 272445-th square number.

74226278025 is the 136223-rd centered octagonal number.

It is an amenable number.

74226278025 is a deficient number, since it is larger than the sum of its proper divisors (62351243692).

74226278025 is an equidigital number, since it uses as much as digits as its factorization.

74226278025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 74226278025 in words is "seventy-four billion, two hundred twenty-six million, two hundred seventy-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 205 225 369 443 615 1025 1329 1681 1845 2215 3075 3987 5043 6645 8405 9225 11075 15129 18163 19935 25215 33225 42025 54489 75645 90815 99675 126075 163467 196249 272445 378225 454075 588747 744683 817335 981245 1362225 1766241 2234049 2943735 3723415 4086675 4906225 6702147 8046209 8831205 11170245 14718675 18617075 24138627 33510735 40231045 44156025 55851225 72415881 120693135 167553675 201155225 329894569 362079405 603465675 989683707 1649472845 1810397025 2969051121 4948418535 8247364225 14845255605 24742092675 74226278025