Search a number
-
+
23188344216 = 2331767384449
BaseRepresentation
bin10101100110001000…
…100000110110011000
32012212000221221021120
4111212020200312120
5334442204003331
614352542405240
71450425450042
oct254610406630
965760857246
1023188344216
11991a241244
1245b1890820
1322570c504b
14119d918a92
1590ab15796
hex566220d98

23188344216 has 64 divisors (see below), whose sum is σ = 61472844000. Its totient is φ = 7263879168.

The previous prime is 23188344209. The next prime is 23188344229. The reversal of 23188344216 is 61244388132.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232360 + ... + 316808.

Almost surely, 223188344216 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 23188344216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30736422000).

23188344216 is an abundant number, since it is smaller than the sum of its proper divisors (38284499784).

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

23188344216 is a wasteful number, since it uses less digits than its factorization.

23188344216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85148 (or 85144 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The spelling of 23188344216 in words is "twenty-three billion, one hundred eighty-eight million, three hundred forty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 673 1346 2019 2692 4038 5384 8076 11441 16152 22882 34323 45764 68646 84449 91528 137292 168898 253347 274584 337796 506694 675592 1013388 1435633 2026776 2871266 4306899 5742532 8613798 11485064 17227596 34455192 56834177 113668354 170502531 227336708 341005062 454673416 682010124 966181009 1364020248 1932362018 2898543027 3864724036 5797086054 7729448072 11594172108 23188344216