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2045215224 = 2333133472099
BaseRepresentation
bin111100111100111…
…1000000111111000
312021112102200212000
41321321320013320
513142033341344
6534540021000
7101453020413
oct17171700770
95245380760
102045215224
1195a51a518
12490b31760
13267948930
141558a8b7a
15be844a69
hex79e781f8

2045215224 has 128 divisors (see below), whose sum is σ = 6138720000. Its totient is φ = 627184512.

The previous prime is 2045215187. The next prime is 2045215229. The reversal of 2045215224 is 4225125402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045215229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 973327 + ... + 975425.

It is an arithmetic number, because the mean of its divisors is an integer number (47958750).

Almost surely, 22045215224 is an apocalyptic number.

2045215224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045215224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069360000).

2045215224 is an abundant number, since it is smaller than the sum of its proper divisors (4093504776).

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

2045215224 is a wasteful number, since it uses less digits than its factorization.

2045215224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2045215224 is about 45224.0558110393. The cubic root of 2045215224 is about 1269.3449872139.

The spelling of 2045215224 in words is "two billion, forty-five million, two hundred fifteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 347 351 468 694 702 936 1041 1388 1404 2082 2099 2776 2808 3123 4164 4198 4511 6246 6297 8328 8396 9022 9369 12492 12594 13533 16792 18044 18738 18891 24984 25188 27066 27287 36088 37476 37782 40599 50376 54132 54574 56673 74952 75564 81198 81861 108264 109148 113346 121797 151128 162396 163722 218296 226692 243594 245583 324792 327444 453384 487188 491166 654888 728353 736749 974376 982332 1456706 1473498 1964664 2185059 2913412 2946996 4370118 5826824 5893992 6555177 8740236 9468589 13110354 17480472 18937178 19665531 26220708 28405767 37874356 39331062 52441416 56811534 75748712 78662124 85217301 113623068 157324248 170434602 227246136 255651903 340869204 511303806 681738408 1022607612 2045215224