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2124440032 = 251113464257
BaseRepresentation
bin111111010100000…
…0110000111100000
312111001111201212011
41332220012013200
513322324040112
6550450042304
7103434304501
oct17650060740
95431451764
102124440032
119a0211270
124b3579394
1327b197210
1416220cba8
15c6793aa7
hex7ea061e0

2124440032 has 48 divisors (see below), whose sum is σ = 4913706672. Its totient is φ = 891371520.

The previous prime is 2124440023. The next prime is 2124440041. The reversal of 2124440032 is 2300444212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2124440023) and next prime (2124440041).

It is a super-2 number, since 2×21244400322 = 9026490899128322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2124439985 and 2124440012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227553 + ... + 236704.

It is an arithmetic number, because the mean of its divisors is an integer number (102368889).

Almost surely, 22124440032 is an apocalyptic number.

2124440032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2124440032 is an abundant number, since it is smaller than the sum of its proper divisors (2789266640).

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

2124440032 is a wasteful number, since it uses less digits than its factorization.

2124440032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464291 (or 464283 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2124440032 is about 46091.6481805544. The cubic root of 2124440032 is about 1285.5278571408.

Adding to 2124440032 its reverse (2300444212), we get a palindrome (4424884244).

The spelling of 2124440032 in words is "two billion, one hundred twenty-four million, four hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 464257 928514 1857028 3714056 5106827 6035341 7428112 10213654 12070682 14856224 20427308 24141364 40854616 48282728 66388751 81709232 96565456 132777502 163418464 193130912 265555004 531110008 1062220016 2124440032