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1053052220 = 2251131115391
BaseRepresentation
bin111110110001000…
…100110100111100
32201101111121002002
4332301010310330
54124040132340
6252254321432
735044540043
oct7661046474
92641447062
101053052220
114a04697a0
122547b9278
1313a22392c
149dbdb55a
15626b0715
hex3ec44d3c

1053052220 has 48 divisors (see below), whose sum is σ = 2420361216. Its totient is φ = 381672000.

The previous prime is 1053052213. The next prime is 1053052243. The reversal of 1053052220 is 222503501.

It is a super-2 number, since 2×10530522202 = 2217837956093856800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1053052192 and 1053052201.

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, 60725 + ... + 76115.

It is an arithmetic number, because the mean of its divisors is an integer number (50424192).

Almost surely, 21053052220 is an apocalyptic number.

1053052220 is a gapful number since it is divisible by the number (10) 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 1053052220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210180608).

1053052220 is an abundant number, since it is smaller than the sum of its proper divisors (1367308996).

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

1053052220 is a wasteful number, since it uses less digits than its factorization.

1053052220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15722 (or 15720 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 1053052220 is about 32450.7660926518. The cubic root of 1053052220 is about 1017.3802502010.

Adding to 1053052220 its reverse (222503501), we get a palindrome (1275555721).

The spelling of 1053052220 in words is "one billion, fifty-three million, fifty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 311 622 1244 1555 3110 3421 6220 6842 13684 15391 17105 30782 34210 61564 68420 76955 153910 169301 307820 338602 677204 846505 1693010 3386020 4786601 9573202 19146404 23933005 47866010 52652611 95732020 105305222 210610444 263263055 526526110 1053052220