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2155385344 = 2972531621
BaseRepresentation
bin1000000001111000…
…1001001000000000
312120012201220211211
42000132021020000
513403234312334
6553513215504
7104261321200
oct20036111000
95505656754
102155385344
11a06727a02
12501a01594
13284710558
14166386400
15c9357a64
hex80789200

2155385344 has 120 divisors (see below), whose sum is σ = 5107343868. Its totient is φ = 905748480.

The previous prime is 2155385321. The next prime is 2155385347. The reversal of 2155385344 is 4435835512.

It can be written as a sum of positive squares in 2 ways, for example, as 2017087744 + 138297600 = 44912^2 + 11760^2 .

It is a super-2 number, since 2×21553853442 = 9291371962259996672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2155385297 and 2155385306.

It is not an unprimeable number, because it can be changed into a prime (2155385347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1328854 + ... + 1330474.

Almost surely, 22155385344 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 2155385344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553671934).

2155385344 is an abundant number, since it is smaller than the sum of its proper divisors (2951958524).

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

2155385344 is an equidigital number, since it uses as much as digits as its factorization.

2155385344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1683 counting only the distinct ones).

The product of its digits is 288000, while the sum is 40.

The square root of 2155385344 is about 46426.1278161339. The cubic root of 2155385344 is about 1291.7396044409.

The spelling of 2155385344 in words is "two billion, one hundred fifty-five million, three hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 64 98 106 112 128 196 212 224 256 371 392 424 448 512 742 784 848 896 1484 1568 1621 1696 1792 2597 2968 3136 3242 3392 3584 5194 5936 6272 6484 6784 10388 11347 11872 12544 12968 13568 20776 22694 23744 25088 25936 27136 41552 45388 47488 51872 79429 83104 85913 90776 94976 103744 158858 166208 171826 181552 189952 207488 317716 332416 343652 363104 414976 601391 635432 664832 687304 726208 829952 1202782 1270864 1329664 1374608 1452416 2405564 2541728 2749216 2904832 4209737 4811128 5083456 5498432 5809664 8419474 9622256 10166912 10996864 16838948 19244512 20333824 21993728 33677896 38489024 40667648 43987456 67355792 76978048 134711584 153956096 269423168 307912192 538846336 1077692672 2155385344