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1223240032 = 257171392311
BaseRepresentation
bin100100011101001…
…0010100101100000
310011020202000212101
41020322102211200
510001122140112
6321214140144
742212240320
oct11072224540
93136660771
101223240032
1157853a383
122a17b1654
13166570591
14b865d280
15725cb757
hex48e92960

1223240032 has 96 divisors (see below), whose sum is σ = 2936424960. Its totient is φ = 489646080.

The previous prime is 1223240021. The next prime is 1223240047. The reversal of 1223240032 is 2300423221.

It is a super-2 number, since 2×12232400322 = 2992632351774722048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1223239991 and 1223240009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528157 + ... + 530467.

It is an arithmetic number, because the mean of its divisors is an integer number (30587760).

Almost surely, 21223240032 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 1223240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468212480).

1223240032 is an abundant number, since it is smaller than the sum of its proper divisors (1713184928).

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

1223240032 is a wasteful number, since it uses less digits than its factorization.

1223240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1223240032 is about 34974.8485629316. The cubic root of 1223240032 is about 1069.4748149080.

Adding to 1223240032 its reverse (2300423221), we get a palindrome (3523663253).

The spelling of 1223240032 in words is "one billion, two hundred twenty-three million, two hundred forty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 139 224 238 272 278 476 544 556 952 973 1112 1904 1946 2224 2311 2363 3808 3892 4448 4622 4726 7784 9244 9452 15568 16177 16541 18488 18904 31136 32354 33082 36976 37808 39287 64708 66164 73952 75616 78574 129416 132328 157148 258832 264656 275009 314296 321229 517664 529312 550018 628592 642458 1100036 1257184 1284916 2200072 2248603 2569832 4400144 4497206 5139664 5460893 8800288 8994412 10279328 10921786 17988824 21843572 35977648 38226251 43687144 71955296 76452502 87374288 152905004 174748576 305810008 611620016 1223240032