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1052212000 = 2553737579
BaseRepresentation
bin111110101101110…
…111101100100000
32201022220220111211
4332231313230200
54123331241000
6252224315504
735034440320
oct7655675440
92638826454
101052212000
1149aa454a4
12254472b94
13139cbb368
149da5d280
15625967ba
hex3eb77b20

1052212000 has 96 divisors (see below), whose sum is σ = 2954689920. Its totient is φ = 360748800.

The previous prime is 1052211973. The next prime is 1052212003. The reversal of 1052212000 is 2122501.

It is a super-2 number, since 2×10522120002 = 2214300185888000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052212003) 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, 9211 + ... + 46789.

It is an arithmetic number, because the mean of its divisors is an integer number (30778020).

Almost surely, 21052212000 is an apocalyptic number.

1052212000 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 1052212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477344960).

1052212000 is an abundant number, since it is smaller than the sum of its proper divisors (1902477920).

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

1052212000 is an equidigital number, since it uses as much as digits as its factorization.

1052212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37611 (or 37593 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1052212000 is about 32437.8174358264. The cubic root of 1052212000 is about 1017.1095923076.

Adding to 1052212000 its reverse (2122501), we get a palindrome (1054334501).

It can be divided in two parts, 10522 and 12000, that added together give a palindrome (22522).

The spelling of 1052212000 in words is "one billion, fifty-two million, two hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 37579 75158 150316 187895 263053 300632 375790 526106 601264 751580 939475 1052212 1202528 1315265 1503160 1878950 2104424 2630530 3006320 3757900 4208848 4697375 5261060 6012640 6576325 7515800 8417696 9394750 10522120 13152650 15031600 18789500 21044240 26305300 30063200 32881625 37579000 42088480 52610600 65763250 75158000 105221200 131526500 150316000 210442400 263053000 526106000 1052212000