Search a number
-
+
2173429056 = 263176071097
BaseRepresentation
bin1000000110001011…
…1110010101000000
312121110200122011110
42001202332111000
513422344212211
6555400043320
7104600561601
oct20142762500
95543618143
102173429056
11a15931467
12507a63540
1328838a3c6
14168921da8
15cac1dea6
hex818be540

2173429056 has 112 divisors (see below), whose sum is σ = 6104388096. Its totient is φ = 680116224.

The previous prime is 2173429051. The next prime is 2173429087. The reversal of 2173429056 is 6509243712.

It is a super-2 number, since 2×21734290562 = 9447587722930102272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2173429051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1980700 + ... + 1981796.

Almost surely, 22173429056 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 2173429056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052194048).

2173429056 is an abundant number, since it is smaller than the sum of its proper divisors (3930959040).

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

2173429056 is a wasteful number, since it uses less digits than its factorization.

2173429056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 2173429056 is about 46620.0499356232. The cubic root of 2173429056 is about 1295.3341725416.

The spelling of 2173429056 in words is "two billion, one hundred seventy-three million, four hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 607 816 1088 1097 1214 1632 1821 2194 2428 3264 3291 3642 4388 4856 6582 7284 8776 9712 10319 13164 14568 17552 18649 19424 20638 26328 29136 30957 35104 37298 38848 41276 52656 55947 58272 61914 70208 74596 82552 105312 111894 116544 123828 149192 165104 210624 223788 247656 298384 330208 447576 495312 596768 660416 665879 895152 990624 1193536 1331758 1790304 1981248 1997637 2663516 3580608 3995274 5327032 7990548 10654064 11319943 15981096 21308128 22639886 31962192 33959829 42616256 45279772 63924384 67919658 90559544 127848768 135839316 181119088 271678632 362238176 543357264 724476352 1086714528 2173429056