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2234115024 = 243891573331
BaseRepresentation
bin1000010100101001…
…1110001111010000
312202200212210122220
42011022132033100
514033413140044
61005404501040
7106235443611
oct20512361720
95680783586
102234115024
11a47110759
1252424a780
13297b1766b
141729dbc08
15d120a019
hex8529e3d0

2234115024 has 80 divisors (see below), whose sum is σ = 5875248960. Its totient is φ = 731427840.

The previous prime is 2234114983. The next prime is 2234115029. The reversal of 2234115024 is 4205114322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2234114985 and 2234115003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234115029) 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, 669039 + ... + 672369.

It is an arithmetic number, because the mean of its divisors is an integer number (73440612).

Almost surely, 22234115024 is an apocalyptic number.

2234115024 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 2234115024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937624480).

2234115024 is an abundant number, since it is smaller than the sum of its proper divisors (3641133936).

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

2234115024 is a wasteful number, since it uses less digits than its factorization.

2234115024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2234115024 is about 47266.4259702381. The cubic root of 2234115024 is about 1307.2796770807.

Adding to 2234115024 its reverse (4205114322), we get a palindrome (6439229346).

The spelling of 2234115024 in words is "two billion, two hundred thirty-four million, one hundred fifteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 157 178 267 314 356 471 534 628 712 942 1068 1256 1424 1884 2136 2512 3331 3768 4272 6662 7536 9993 13324 13973 19986 26648 27946 39972 41919 53296 55892 79944 83838 111784 159888 167676 223568 296459 335352 522967 592918 670704 889377 1045934 1185836 1568901 1778754 2091868 2371672 3137802 3557508 4183736 4743344 6275604 7115016 8367472 12551208 14230032 25102416 46544063 93088126 139632189 186176252 279264378 372352504 558528756 744705008 1117057512 2234115024