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354150225 = 345211131223
BaseRepresentation
bin10101000110111…
…110011101010001
3220200101200210000
4111012332131101
51211130301400
655050400213
711530140642
oct2506763521
9820350700
10354150225
111719aa340
129a730069
13584aa260
143506b6c9
1521158600
hex151be751

354150225 has 120 divisors (see below), whose sum is σ = 771325632. Its totient is φ = 158371200.

The previous prime is 354150221. The next prime is 354150241. The reversal of 354150225 is 522051453.

It is a happy number.

It is not a de Polignac number, because 354150225 - 22 = 354150221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (354150221) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 288964 + ... + 290186.

Almost surely, 2354150225 is an apocalyptic number.

It is an amenable number.

354150225 is an abundant number, since it is smaller than the sum of its proper divisors (417175407).

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

354150225 is a wasteful number, since it uses less digits than its factorization.

354150225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 354150225 is about 18818.8794831148. The cubic root of 354150225 is about 707.5044471079.

The spelling of 354150225 in words is "three hundred fifty-four million, one hundred fifty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 13 15 25 27 33 39 45 55 65 75 81 99 117 135 143 165 195 225 275 297 325 351 405 429 495 585 675 715 825 891 975 1053 1223 1287 1485 1755 2025 2145 2475 2925 3575 3669 3861 4455 5265 6115 6435 7425 8775 10725 11007 11583 13453 15899 18345 19305 22275 26325 30575 32175 33021 40359 47697 55035 57915 67265 79495 91725 96525 99063 121077 143091 165105 174889 201795 238485 275175 289575 336325 363231 397475 429273 495315 524667 605385 715455 825525 874445 1008975 1089693 1192425 1287819 1574001 1816155 2146365 2476575 2623335 3026925 3577275 4372225 4722003 5448465 6439095 7870005 9080775 10731825 13116675 14166009 23610015 27242325 32195475 39350025 70830045 118050075 354150225