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235320023532 = 223113753909091
BaseRepresentation
bin1101101100101000101…
…0101001100111101100
3211111101212010210012010
43123022022221213230
512323413411223112
6300034324441220
723000310124356
oct3331212514754
9744355123163
10235320023532
11908870226a0
1239734249210
1319262931999
14b564cd40d6
1561c416b63c
hex36ca2a99ec

235320023532 has 96 divisors (see below), whose sum is σ = 626793479424. Its totient is φ = 68072659200.

The previous prime is 235320023513. The next prime is 235320023557.

235320023532 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 235320023532.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195694 + ... + 713397.

It is an arithmetic number, because the mean of its divisors is an integer number (6529098744).

Almost surely, 2235320023532 is an apocalyptic number.

235320023532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

235320023532 is an abundant number, since it is smaller than the sum of its proper divisors (391473455892).

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

235320023532 is a wasteful number, since it uses less digits than its factorization.

235320023532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909199 (or 909197 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

It can be divided in two parts, 2353200 and 23532, that multiplied together give a square (55375502400 = 2353202).

The spelling of 235320023532 in words is "two hundred thirty-five billion, three hundred twenty million, twenty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 53 66 74 106 111 132 148 159 212 222 318 407 444 583 636 814 1166 1221 1628 1749 1961 2332 2442 3498 3922 4884 5883 6996 7844 11766 21571 23532 43142 64713 86284 129426 258852 909091 1818182 2727273 3636364 5454546 10000001 10909092 20000002 30000003 33636367 40000004 48181823 60000006 67272734 96363646 100909101 120000012 134545468 144545469 192727292 201818202 289090938 370000037 403636404 530000053 578181876 740000074 1060000106 1110000111 1480000148 1590000159 1782727451 2120000212 2220000222 3180000318 3565454902 4440000444 5348182353 6360000636 7130909804 10696364706 19610001961 21392729412 39220003922 58830005883 78440007844 117660011766 235320023532