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2293196364 = 223243247733
BaseRepresentation
bin1000100010101111…
…0110011001001100
312220211001110000200
42020223312121030
514144024240424
61015315053500
7110553563454
oct21053663114
95824043020
102293196364
11a774a4408
1253bba1290
132a7132434
1417a7bad64
15d64ca8c9
hex88af664c

2293196364 has 108 divisors (see below), whose sum is σ = 6069170016. Its totient is φ = 729739584.

The previous prime is 2293196357. The next prime is 2293196383. The reversal of 2293196364 is 4636913922.

2293196364 is a `hidden beast` number, since 2 + 2 + 9 + 3 + 1 + 9 + 636 + 4 = 666.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3128142 + ... + 3128874.

Almost surely, 22293196364 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 2293196364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034585008).

2293196364 is an abundant number, since it is smaller than the sum of its proper divisors (3775973652).

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

2293196364 is a wasteful number, since it uses less digits than its factorization.

2293196364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 828 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 2293196364 is about 47887.3298900659. The cubic root of 2293196364 is about 1318.7032651048.

The spelling of 2293196364 in words is "two billion, two hundred ninety-three million, one hundred ninety-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 47 86 94 129 141 172 188 258 282 387 423 516 564 733 774 846 1466 1548 1692 1849 2021 2199 2932 3698 4042 4398 5547 6063 6597 7396 8084 8796 11094 12126 13194 16641 18189 22188 24252 26388 31519 33282 34451 36378 63038 66564 68902 72756 86903 94557 103353 126076 137804 173806 189114 206706 260709 283671 310059 347612 378228 413412 521418 567342 620118 782127 1042836 1134684 1240236 1355317 1481393 1564254 2710634 2962786 3128508 4065951 4444179 5421268 5925572 8131902 8888358 12197853 13332537 16263804 17776716 24395706 26665074 48791412 53330148 63699899 127399798 191099697 254799596 382199394 573299091 764398788 1146598182 2293196364