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10222112000 = 2853319441
BaseRepresentation
bin10011000010100100…
…10000110100000000
3222101101201002111202
421201102100310000
5131413330041000
64410155200332
7511212342542
oct114122206400
928341632452
1010222112000
114376130051
121b934460a8
13c6ba172a9
146cd85d692
153ec633dd5
hex261490d00

10222112000 has 72 divisors (see below), whose sum is σ = 25464638472. Its totient is φ = 4088832000.

The previous prime is 10222111969. The next prime is 10222112011. The reversal of 10222112000 is 21122201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1404150784 + 8817961216 = 37472^2 + 93904^2 .

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, 127721 + ... + 191720.

Almost surely, 210222112000 is an apocalyptic number.

10222112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222112000 is an abundant number, since it is smaller than the sum of its proper divisors (15242526472).

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

10222112000 is an frugal number, since it uses more digits than its factorization.

10222112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319472 (or 319448 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10222112000 its reverse (21122201), we get a palindrome (10243234201).

The spelling of 10222112000 in words is "ten billion, two hundred twenty-two million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 16000 32000 319441 638882 1277764 1597205 2555528 3194410 5111056 6388820 7986025 10222112 12777640 15972050 20444224 25555280 31944100 39930125 40888448 51110560 63888200 79860250 81776896 102221120 127776400 159720500 204442240 255552800 319441000 408884480 511105600 638882000 1022211200 1277764000 2044422400 2555528000 5111056000 10222112000