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226386591601 = 23213721512
BaseRepresentation
bin1101001011010110110…
…0010011111101110001
3210122100021022102101211
43102311230103331301
512202114431412401
6252000042200121
722233033164332
oct3226554237561
9718307272354
10226386591601
1188012368aa5
1237a604b3041
131846abbb0a1
14ad5868a289
155d4ec3d951
hex34b5b13f71

226386591601 has 27 divisors (see below), whose sum is σ = 239986721163. Its totient is φ = 213539488800.

The previous prime is 226386591589. The next prime is 226386591631. The reversal of 226386591601 is 106195683622.

Multipling 226386591601 by its sum of digits (49), we get a square (11092942988449 = 33306072).

The square root of 226386591601 is 475801.

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

It can be written as a sum of positive squares in only one way, i.e., 132980562225 + 93406029376 = 364665^2 + 305624^2 .

It is not a de Polignac number, because 226386591601 - 221 = 226384494449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (226386591631) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1499248876 + ... + 1499249026.

Almost surely, 2226386591601 is an apocalyptic number.

226386591601 is the 475801-st square number.

226386591601 is the 237901-st centered octagonal number.

It is an amenable number.

226386591601 is a deficient number, since it is larger than the sum of its proper divisors (13600129562).

226386591601 is an frugal number, since it uses more digits than its factorization.

226386591601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 226386591601 in words is "two hundred twenty-six billion, three hundred eighty-six million, five hundred ninety-one thousand, six hundred one".

Divisors: 1 23 137 151 529 3151 3473 18769 20687 22801 72473 79879 431687 475801 524423 2834119 3123737 9928801 10943423 12061729 65184737 71845951 427951969 1499248951 1652456873 9842895287 226386591601