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145226601 = 341321032
BaseRepresentation
bin10001010011111…
…11101101101001
3101010021021110000
420221333231221
5244134222401
622224413213
73412256112
oct1051775551
9333237400
10145226601
1174a81993
1240777209
132411a300
1415405209
15cb3a186
hex8a7fb69

145226601 has 45 divisors (see below), whose sum is σ = 237217959. Its totient is φ = 88502544.

The previous prime is 145226579. The next prime is 145226621. The reversal of 145226601 is 106622541.

The square root of 145226601 is 12051.

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

145226601 is a `hidden beast` number, since 1 + 4 + 52 + 2 + 6 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21483225 + 123743376 = 4635^2 + 11124^2 .

It is not a de Polignac number, because 145226601 - 29 = 145226089 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (145226621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1409916 + ... + 1410018.

Almost surely, 2145226601 is an apocalyptic number.

145226601 is the 12051-st square number.

145226601 is the 6026-th centered octagonal number.

It is an amenable number.

145226601 is a deficient number, since it is larger than the sum of its proper divisors (91991358).

145226601 is an equidigital number, since it uses as much as digits as its factorization.

145226601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 145226601 is about 525.6323156774.

The spelling of 145226601 in words is "one hundred forty-five million, two hundred twenty-six thousand, six hundred one".

Divisors: 1 3 9 13 27 39 81 103 117 169 309 351 507 927 1053 1339 1521 2781 4017 4563 8343 10609 12051 13689 17407 31827 36153 52221 95481 108459 137917 156663 286443 413751 469989 859329 1241253 1409967 1792921 3723759 5378763 11171277 16136289 48408867 145226601