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3135292220 = 2251922271913
BaseRepresentation
bin1011101011100000…
…1100001100111100
322002111121100101002
42322320030030330
522410113322340
61235040105432
7140460354434
oct27270141474
98074540332
103135292220
1113698774a5
12736005278
133ac733ac8
1421a5832c4
151353ba715
hexbae0c33c

3135292220 has 72 divisors (see below), whose sum is σ = 6983144784. Its totient is φ = 1182258432.

The previous prime is 3135292217. The next prime is 3135292243. The reversal of 3135292220 is 222925313.

3135292220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1637984 + ... + 1639896.

It is an arithmetic number, because the mean of its divisors is an integer number (96988122).

Almost surely, 23135292220 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 3135292220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491572392).

3135292220 is an abundant number, since it is smaller than the sum of its proper divisors (3847852564).

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

3135292220 is a wasteful number, since it uses less digits than its factorization.

3135292220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 3135292220 is about 55993.6801791059. The cubic root of 3135292220 is about 1463.6121573821.

The spelling of 3135292220 in words is "three billion, one hundred thirty-five million, two hundred ninety-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 227 361 380 454 722 908 1135 1444 1805 1913 2270 3610 3826 4313 4540 7220 7652 8626 9565 17252 19130 21565 36347 38260 43130 72694 81947 86260 145388 163894 181735 327788 363470 409735 434251 690593 726940 819470 868502 1381186 1638940 1737004 2171255 2762372 3452965 4342510 6905930 8250769 8685020 13811860 16501538 33003076 41253845 82507690 156764611 165015380 313529222 627058444 783823055 1567646110 3135292220