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2123244396 = 22327132922349
BaseRepresentation
bin111111010001110…
…0010001101101100
312110222020222202100
41332203202031230
513322022310041
6550404255100
7103421164620
oct17643421554
95428228670
102123244396
1199a574a39
124b30a1490
1327ab68c40
14161dbb180
15c66096b6
hex7e8e236c

2123244396 has 144 divisors (see below), whose sum is σ = 6833736000. Its totient is φ = 540642816.

The previous prime is 2123244373. The next prime is 2123244401. The reversal of 2123244396 is 6934423212.

2123244396 is a `hidden beast` number, since 2 + 1 + 23 + 244 + 396 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2123244396.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83830 + ... + 106178.

It is an arithmetic number, because the mean of its divisors is an integer number (47456500).

Almost surely, 22123244396 is an apocalyptic number.

2123244396 is a gapful number since it is divisible by the number (26) 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 2123244396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416868000).

2123244396 is an abundant number, since it is smaller than the sum of its proper divisors (4710491604).

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

2123244396 is a wasteful number, since it uses less digits than its factorization.

2123244396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22408 (or 22403 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 2123244396 is about 46078.6761528584. The cubic root of 2123244396 is about 1285.2866466261.

The spelling of 2123244396 in words is "two billion, one hundred twenty-three million, two hundred forty-four thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 29 36 39 42 52 58 63 78 84 87 91 116 117 126 156 174 182 203 234 252 261 273 348 364 377 406 468 522 546 609 754 812 819 1044 1092 1131 1218 1508 1638 1827 2262 2436 2639 3276 3393 3654 4524 5278 6786 7308 7917 10556 13572 15834 22349 23751 31668 44698 47502 67047 89396 95004 134094 156443 201141 268188 290537 312886 402282 469329 581074 625772 648121 804564 871611 938658 1162148 1296242 1407987 1743222 1877316 1944363 2033759 2592484 2614833 2815974 3486444 3888726 4067518 4536847 5229666 5631948 5833089 6101277 7777452 8135036 8425573 9073694 10459332 11666178 12202554 13610541 16851146 18147388 18303831 23332356 24405108 25276719 27221082 33702292 36607662 40831623 50553438 54442164 58979011 73215324 75830157 81663246 101106876 117958022 151660314 163326492 176937033 235916044 303320628 353874066 530811099 707748132 1061622198 2123244396