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226004625 = 32537112609
BaseRepresentation
bin11010111100010…
…00111010010001
3120202021020001200
431132020322101
5430324122000
634232021413
75413002420
oct1536107221
9522236050
10226004625
11106634690
1263831869
1337a90862
14220312b7
1514c94500
hexd788e91

226004625 has 96 divisors (see below), whose sum is σ = 508135680. Its totient is φ = 93888000.

The previous prime is 226004617. The next prime is 226004629. The reversal of 226004625 is 526400622.

226004625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 226004625 - 23 = 226004617 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226004629) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85321 + ... + 87929.

It is an arithmetic number, because the mean of its divisors is an integer number (5293080).

Almost surely, 2226004625 is an apocalyptic number.

226004625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

226004625 is an abundant number, since it is smaller than the sum of its proper divisors (282131055).

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

226004625 is a wasteful number, since it uses less digits than its factorization.

226004625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 226004625 is about 15033.4502027978. The cubic root of 226004625 is about 609.1240899959.

It can be divided in two parts, 22600 and 4625, that added together give a square (27225 = 1652).

The spelling of 226004625 in words is "two hundred twenty-six million, four thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 125 165 175 225 231 275 315 375 385 495 525 693 825 875 1125 1155 1375 1575 1925 2475 2609 2625 3465 4125 5775 7827 7875 9625 12375 13045 17325 18263 23481 28699 28875 39135 54789 65225 86097 86625 91315 117405 143495 164367 195675 200893 258291 273945 326125 430485 456575 587025 602679 717475 821835 978375 1004465 1291455 1369725 1808037 2152425 2282875 2935125 3013395 3587375 4109175 5022325 6457275 6848625 9040185 10762125 15066975 20545875 25111625 32286375 45200925 75334875 226004625