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2191707072 = 26341273329
BaseRepresentation
bin1000001010100010…
…1100101111000000
312122202002020220000
42002220230233000
513442034111242
61001251520000
7105212126352
oct20250545700
95582066800
102191707072
11a25185a65
12511bb9000
1328c0b9ab9
1416b11d0d2
15cc62ea4c
hex82a2cbc0

2191707072 has 140 divisors (see below), whose sum is σ = 6550030080. Its totient is φ = 724598784.

The previous prime is 2191707059. The next prime is 2191707079. The reversal of 2191707072 is 2707071912.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2191707079) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 656704 + ... + 660032.

Almost surely, 22191707072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2191707072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275015040).

2191707072 is an abundant number, since it is smaller than the sum of its proper divisors (4358323008).

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

2191707072 is a wasteful number, since it uses less digits than its factorization.

2191707072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The square root of 2191707072 is about 46815.6712223589. The cubic root of 2191707072 is about 1298.9551904922.

Adding to 2191707072 its reverse (2707071912), we get a palindrome (4898778984).

The spelling of 2191707072 in words is "two billion, one hundred ninety-one million, seven hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 127 144 162 192 216 254 288 324 381 432 508 576 648 762 864 1016 1143 1296 1524 1728 2032 2286 2592 3048 3329 3429 4064 4572 5184 6096 6658 6858 8128 9144 9987 10287 12192 13316 13716 18288 19974 20574 24384 26632 27432 29961 36576 39948 41148 53264 54864 59922 73152 79896 82296 89883 106528 109728 119844 159792 164592 179766 213056 219456 239688 269649 319584 329184 359532 422783 479376 539298 639168 658368 719064 845566 958752 1078596 1268349 1438128 1691132 1917504 2157192 2536698 2876256 3382264 3805047 4314384 5073396 5752512 6764528 7610094 8628768 10146792 11415141 13529056 15220188 17257536 20293584 22830282 27058112 30440376 34245423 40587168 45660564 60880752 68490846 81174336 91321128 121761504 136981692 182642256 243523008 273963384 365284512 547926768 730569024 1095853536 2191707072