Search a number
-
+
223212215423444 = 2213192937210552931
BaseRepresentation
bin110010110000001010100100…
…110011110101000111010100
31002021022212202002010022221012
4302300022210303311013110
5213224102104122022234
62110422135352111352
765005356532050122
oct6260124463650724
91067285662108835
10223212215423444
1165138850526735
1221050033395558
139771a8b080a90
143d19759312912
151ac13de2130ce
hexcb02a4cf51d4

223212215423444 has 96 divisors (see below), whose sum is σ = 470459471260800. Its totient is φ = 91686536686080.

The previous prime is 223212215423443. The next prime is 223212215423453. The reversal of 223212215423444 is 444324512212322.

It is a happy number.

It is a super-3 number, since 3×2232122154234443 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223212215423443) 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, 104216342 + ... + 106336589.

It is an arithmetic number, because the mean of its divisors is an integer number (4900619492300).

Almost surely, 2223212215423444 is an apocalyptic number.

It is an amenable number.

223212215423444 is an abundant number, since it is smaller than the sum of its proper divisors (247247255837356).

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

223212215423444 is a wasteful number, since it uses less digits than its factorization.

223212215423444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210553033 (or 210553031 counting only the distinct ones).

The product of its digits is 737280, while the sum is 41.

Adding to 223212215423444 its reverse (444324512212322), we get a palindrome (667536727635766).

The spelling of 223212215423444 in words is "two hundred twenty-three trillion, two hundred twelve billion, two hundred fifteen million, four hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 4 13 19 26 29 37 38 52 58 74 76 116 148 247 377 481 494 551 703 754 962 988 1073 1102 1406 1508 1924 2146 2204 2812 4292 7163 9139 13949 14326 18278 20387 27898 28652 36556 40774 55796 81548 265031 530062 1060124 210552931 421105862 842211724 2737188103 4000505689 5474376206 6106034999 7790458447 8001011378 10948752412 12212069998 15580916894 16002022756 24424139996 31161833788 52006573957 79378454987 101275959811 104013147914 116014664981 148018710493 158756909974 202551919622 208026295828 225923294963 232029329962 296037420986 317513819948 405103839244 451846589926 464058659924 592074841972 903693179852 1508190644753 1924243236409 2937002834519 3016381289506 3848486472818 4292542604297 5874005669038 6032762579012 7696972945636 8585085208594 11748011338076 17170170417188 55803053855861 111606107711722 223212215423444