Search a number
-
+
23001330 = 23511471483
BaseRepresentation
bin101011110111…
…1100011110010
31121021120220010
41113233203302
521342020310
62140555350
7366336162
oct127574362
947246803
1023001330
1111a90270
127852b56
1349c4571
1430aa5a2
152045320
hex15ef8f2

23001330 has 64 divisors (see below), whose sum is σ = 61544448. Its totient is φ = 5453760.

The previous prime is 23001313. The next prime is 23001337. The reversal of 23001330 is 3310032.

It is a happy number.

It is a super-2 number, since 2×230013302 = 1058122363537800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23001337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14769 + ... + 16251.

It is an arithmetic number, because the mean of its divisors is an integer number (961632).

Almost surely, 223001330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30772224).

23001330 is an abundant number, since it is smaller than the sum of its proper divisors (38543118).

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

23001330 is a wasteful number, since it uses less digits than its factorization.

23001330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 23001330 is about 4795.9701833936. The cubic root of 23001330 is about 284.3921795361.

Adding to 23001330 its reverse (3310032), we get a palindrome (26311362).

The spelling of 23001330 in words is "twenty-three million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 235 282 330 470 517 705 1034 1410 1483 1551 2585 2966 3102 4449 5170 7415 7755 8898 14830 15510 16313 22245 32626 44490 48939 69701 81565 97878 139402 163130 209103 244695 348505 418206 489390 697010 766711 1045515 1533422 2091030 2300133 3833555 4600266 7667110 11500665 23001330