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2210460104000 = 2653331383401
BaseRepresentation
bin100000001010101001101…
…100000111010101000000
321211022120202122212121202
4200022221230013111000
5242204010241312000
64411245451240332
7315462155605061
oct40125154072500
97738522585552
102210460104000
117824a6113a35
122b849a7490a8
131305a39976a5
1478db5c62568
153c7748e6dd5
hex202a9b07540

2210460104000 has 112 divisors (see below), whose sum is σ = 5475922445136. Its totient is φ = 883906560000.

The previous prime is 2210460103991. The next prime is 2210460104029. The reversal of 2210460104000 is 4010640122.

It can be written as a sum of positive squares in 8 ways, for example, as 144272348224 + 2066187755776 = 379832^2 + 1437424^2 .

It is a super-2 number, since 2×22104601040002 (a number of 25 digits) contains 22 as substring.

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

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, 26462300 + ... + 26545700.

Almost surely, 22210460104000 is an apocalyptic number.

2210460104000 is a gapful number since it is divisible by the number (20) 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 2210460104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737961222568).

2210460104000 is an abundant number, since it is smaller than the sum of its proper divisors (3265462341136).

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

2210460104000 is an equidigital number, since it uses as much as digits as its factorization.

2210460104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86741 (or 86721 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2210460104000 its reverse (4010640122), we get a palindrome (2214470744122).

The spelling of 2210460104000 in words is "two trillion, two hundred ten billion, four hundred sixty million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 3313 4000 6626 8000 13252 16565 26504 33130 53008 66260 82825 83401 106016 132520 165650 166802 212032 265040 331300 333604 414125 417005 530080 662600 667208 828250 834010 1060160 1325200 1334416 1656500 1668020 2085025 2650400 2668832 3313000 3336040 4170050 5300800 5337664 6626000 6672080 8340100 10425125 13252000 13344160 16680200 20850250 26504000 26688320 33360400 41700500 66720800 83401000 133441600 166802000 276307513 333604000 552615026 667208000 1105230052 1381537565 2210460104 2763075130 4420920208 5526150260 6907687825 8841840416 11052300520 13815375650 17683680832 22104601040 27630751300 34538439125 44209202080 55261502600 69076878250 88418404160 110523005200 138153756500 221046010400 276307513000 442092020800 552615026000 1105230052000 2210460104000