Search a number
-
+
236913664 = 210132372
BaseRepresentation
bin11100001111100…
…00010000000000
3121111210110110011
432013300100000
5441122214124
635301514304
75604506251
oct1607602000
9544713404
10236913664
11111805819
1267412994
133a110100
1423670b28
1515beb994
hexe1f0400

236913664 has 99 divisors (see below), whose sum is σ = 527063607. Its totient is φ = 106389504.

The previous prime is 236913643. The next prime is 236913667. The reversal of 236913664 is 466319632.

The square root of 236913664 is 15392.

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

It can be written as a sum of positive squares in 4 ways, for example, as 984064 + 235929600 = 992^2 + 15360^2 .

It is a super-2 number, since 2×2369136642 = 112256168379809792, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (236913667) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6403054 + ... + 6403090.

Almost surely, 2236913664 is an apocalyptic number.

236913664 is the 15392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 236913664

236913664 is an abundant number, since it is smaller than the sum of its proper divisors (290149943).

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

236913664 is an equidigital number, since it uses as much as digits as its factorization.

236913664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 52 counting only the distinct ones).

The product of its digits is 139968, while the sum is 40.

The cubic root of 236913664 is about 618.7711212190.

The spelling of 236913664 in words is "two hundred thirty-six million, nine hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 169 208 256 296 338 416 481 512 592 676 832 962 1024 1184 1352 1369 1664 1924 2368 2704 2738 3328 3848 4736 5408 5476 6253 6656 7696 9472 10816 10952 12506 13312 15392 17797 18944 21632 21904 25012 30784 35594 37888 43264 43808 50024 61568 71188 86528 87616 100048 123136 142376 173056 175232 200096 231361 246272 284752 350464 400192 462722 492544 569504 700928 800384 925444 1139008 1401856 1600768 1850888 2278016 3201536 3701776 4556032 6403072 7403552 9112064 14807104 18224128 29614208 59228416 118456832 236913664