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2235965796 = 2234372712
BaseRepresentation
bin1000010101000110…
…0010000101100100
312202211100211110000
42011101202011210
514034401401141
61005512301300
7106260252501
oct20521420544
95684324400
102235965796
11a48165219
125249a1830
13298314bac
14172d604a8
15d14735b6
hex85462164

2235965796 has 135 divisors (see below), whose sum is σ = 6093310377. Its totient is φ = 714964320.

The previous prime is 2235965789. The next prime is 2235965807. The reversal of 2235965796 is 6975695322.

The square root of 2235965796 is 47286.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2000772900 + 235192896 = 44730^2 + 15336^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 31492441 + ... + 31492511.

Almost surely, 22235965796 is an apocalyptic number.

2235965796 is the 47286-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2235965796

2235965796 is an abundant number, since it is smaller than the sum of its proper divisors (3857344581).

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

2235965796 is an equidigital number, since it uses as much as digits as its factorization.

2235965796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 113 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The cubic root of 2235965796 is about 1307.6405670072.

The spelling of 2235965796 in words is "two billion, two hundred thirty-five million, nine hundred sixty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 71 74 81 108 111 142 148 162 213 222 284 324 333 426 444 639 666 852 999 1278 1332 1369 1917 1998 2556 2627 2738 2997 3834 3996 4107 5041 5254 5476 5751 5994 7668 7881 8214 10082 10508 11502 11988 12321 15123 15762 16428 20164 23004 23643 24642 30246 31524 36963 45369 47286 49284 60492 70929 73926 90738 94572 97199 110889 136107 141858 147852 181476 186517 194398 212787 221778 272214 283716 291597 373034 388796 408321 425574 443556 544428 559551 583194 746068 816642 851148 874791 1119102 1166388 1633284 1678653 1749582 2238204 2624373 3357306 3499164 5035959 5248746 6714612 6901129 7873119 10071918 10497492 13802258 15107877 15746238 20143836 20703387 27604516 30215754 31492476 41406774 60431508 62110161 82813548 124220322 186330483 248440644 372660966 558991449 745321932 1117982898 2235965796