Search a number
-
+
225661887297 = 32711476928307
BaseRepresentation
bin1101001000101001111…
…1110010001101000001
3210120110202122121222200
43102022133302031001
512144123420343142
6251400113223413
722206053251650
oct3221237621501
9716422577880
10225661887297
1187780285a20
1237899861b69
1318383a0c282
14acca321197
155d0b2db64c
hex348a7f2341

225661887297 has 48 divisors (see below), whose sum is σ = 415033362432. Its totient is φ = 114732747360.

The previous prime is 225661887293. The next prime is 225661887301. The reversal of 225661887297 is 792788166522.

225661887297 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 618 + 8 + 7 + 2 + 9 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (225661887293) and next prime (225661887301).

It is not a de Polignac number, because 225661887297 - 22 = 225661887293 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (225661887293) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3431583 + ... + 3496724.

It is an arithmetic number, because the mean of its divisors is an integer number (8646528384).

Almost surely, 2225661887297 is an apocalyptic number.

It is an amenable number.

225661887297 is a deficient number, since it is larger than the sum of its proper divisors (189371475135).

225661887297 is a wasteful number, since it uses less digits than its factorization.

225661887297 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6928378 (or 6928375 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 225661887297 in words is "two hundred twenty-five billion, six hundred sixty-one million, eight hundred eighty-seven thousand, two hundred ninety-seven".

Divisors: 1 3 7 9 11 21 33 47 63 77 99 141 231 329 423 517 693 987 1551 2961 3619 4653 10857 32571 6928307 20784921 48498149 62354763 76211377 145494447 228634131 325630429 436483341 533479639 685902393 976891287 1600438917 2279413003 2930673861 3581934719 4801316751 6838239009 10745804157 20514717027 25073543033 32237412471 75220629099 225661887297