Search a number
-
+
222433432341432 = 2331317277151396829
BaseRepresentation
bin110010100100110101010001…
…101110001000101110111000
31002011120102120100100200211220
4302210311101232020232320
5213123322132134411212
62105024301431552040
764565166545061624
oct6244652156105670
91064512510320756
10222433432341432
1164968541802504
1220b4510a52b620
1397164c8947b60
143ccdb9ab28184
151aab00d91a38c
hexca4d51b88bb8

222433432341432 has 128 divisors (see below), whose sum is σ = 636375379348800. Its totient is φ = 64182565675008.

The previous prime is 222433432341377. The next prime is 222433432341443. The reversal of 222433432341432 is 234143234334222.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74229207 + ... + 77167622.

Almost surely, 2222433432341432 is an apocalyptic number.

It is an amenable number.

222433432341432 is an abundant number, since it is smaller than the sum of its proper divisors (413941947007368).

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

222433432341432 is a wasteful number, since it uses less digits than its factorization.

222433432341432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151397145 (or 151397141 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 42.

Adding to 222433432341432 its reverse (234143234334222), we get a palindrome (456576666675654).

The spelling of 222433432341432 in words is "two hundred twenty-two trillion, four hundred thirty-three billion, four hundred thirty-two million, three hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 277 312 408 442 554 663 831 884 1108 1326 1662 1768 2216 2652 3324 3601 4709 5304 6648 7202 9418 10803 14127 14404 18836 21606 28254 28808 37672 43212 56508 61217 86424 113016 122434 183651 244868 367302 489736 734604 1469208 151396829 302793658 454190487 605587316 908380974 1211174632 1816761948 1968158777 2573746093 3633523896 3936317554 5147492186 5904476331 7721238279 7872635108 10294984372 11808952662 15442476558 15745270216 20589968744 23617905324 30884953116 33458699209 41936921633 47235810648 61769906232 66917398418 83873843266 100376097627 125810764899 133834796836 167747686532 200752195254 251621529798 267669593672 335495373064 401504390508 503243059596 545179981229 712927667761 803008781016 1006486119192 1090359962458 1425855335522 1635539943687 2138783003283 2180719924916 2851710671044 3271079887374 4277566006566 4361439849832 5703421342088 6542159774748 8555132013132 9268059680893 13084319549496 17110264026264 18536119361786 27804179042679 37072238723572 55608358085358 74144477447144 111216716170716 222433432341432