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225132505276 = 22727118189381
BaseRepresentation
bin1101000110101011110…
…0010110100010111100
3210112002212112020101011
43101222330112202330
512142032410132101
6251231402525004
722156664502100
oct3215274264274
9715085466334
10225132505276
1187529480418
1237770506764
13182cb13a583
14ac79cbb900
155cc9abc751
hex346af168bc

225132505276 has 72 divisors (see below), whose sum is σ = 467333429472. Its totient is φ = 94599792000.

The previous prime is 225132505261. The next prime is 225132505291. The reversal of 225132505276 is 672505231522.

It is an interprime number because it is at equal distance from previous prime (225132505261) and next prime (225132505291).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2474106 + ... + 2563486.

It is an arithmetic number, because the mean of its divisors is an integer number (6490742076).

Almost surely, 2225132505276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225132505276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233666714736).

225132505276 is an abundant number, since it is smaller than the sum of its proper divisors (242200924196).

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

225132505276 is a wasteful number, since it uses less digits than its factorization.

225132505276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89651 (or 89642 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 40.

Adding to 225132505276 its reverse (672505231522), we get a palindrome (897637736798).

The spelling of 225132505276 in words is "two hundred twenty-five billion, one hundred thirty-two million, five hundred five thousand, two hundred seventy-six".

Divisors: 1 2 4 7 14 28 49 71 98 142 181 196 284 362 497 724 994 1267 1988 2534 3479 5068 6958 8869 12851 13916 17738 25702 35476 51404 89381 89957 178762 179914 357524 359828 625667 629699 1251334 1259398 2502668 2518796 4379669 6346051 8759338 12692102 16177961 17518676 25384204 32355922 44422357 64711844 88844714 113245727 177689428 226491454 310956499 452982908 621912998 792720089 1148635231 1243825996 1585440178 2297270462 3170880356 4594540924 8040446617 16080893234 32161786468 56283126319 112566252638 225132505276