Search a number
-
+
23270610916 = 22723417312073
BaseRepresentation
bin10101101011000010…
…010101011111100100
32020001202202111222101
4111223002111133210
5340124234022131
614405041541444
71452444633460
oct255302253744
966052674871
1023270610916
119961720453
124615344884
13226b16a077
1411aa8114a0
15912e65c61
hex56b0957e4

23270610916 has 96 divisors (see below), whose sum is σ = 50434933248. Its totient is φ = 9178583040.

The previous prime is 23270610899. The next prime is 23270610919. The reversal of 23270610916 is 61901607232.

It is not an unprimeable number, because it can be changed into a prime (23270610919) 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, 1921456 + ... + 1933528.

It is an arithmetic number, because the mean of its divisors is an integer number (525363888).

Almost surely, 223270610916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23270610916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25217466624).

23270610916 is an abundant number, since it is smaller than the sum of its proper divisors (27164322332).

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

23270610916 is a wasteful number, since it uses less digits than its factorization.

23270610916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12221 (or 12219 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 23270610916 in words is "twenty-three billion, two hundred seventy million, six hundred ten thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 23 28 41 46 73 82 92 146 161 164 287 292 322 511 574 644 943 1022 1148 1679 1886 2044 2993 3358 3772 5986 6601 6716 11753 11972 12073 13202 20951 23506 24146 26404 41902 47012 48292 68839 83804 84511 137678 169022 275356 277679 338044 481873 494993 555358 881329 963746 989986 1110716 1762658 1927492 1943753 1979972 3464951 3525316 3887506 6169303 6929902 7775012 11384839 12338606 13859804 20270567 22769678 24677212 36134489 40541134 45539356 72268978 79693873 81082268 141893969 144537956 159387746 252941423 283787938 318775492 505882846 567575876 831093247 1011765692 1662186494 3324372988 5817652729 11635305458 23270610916