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2122696240 = 245730712347
BaseRepresentation
bin111111010000101…
…1100011000110000
312110221020010211021
41332201130120300
513321402234430
6550344425224
7103413422530
oct17641343060
95427203737
102122696240
1199a230115
124b2a78214
1327aa065a2
14161cb74c0
15c654c07a
hex7e85c630

2122696240 has 80 divisors (see below), whose sum is σ = 5659137792. Its totient is φ = 725352192.

The previous prime is 2122696237. The next prime is 2122696249. The reversal of 2122696240 is 426962212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2122696196 and 2122696205.

It is not an unprimeable number, because it can be changed into a prime (2122696249) 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, 165747 + ... + 178093.

Almost surely, 22122696240 is an apocalyptic number.

2122696240 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 2122696240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829568896).

2122696240 is an abundant number, since it is smaller than the sum of its proper divisors (3536441552).

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

2122696240 is a wasteful number, since it uses less digits than its factorization.

2122696240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12674 (or 12668 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 2122696240 is about 46072.7277247614. The cubic root of 2122696240 is about 1285.1760300265.

The spelling of 2122696240 in words is "two billion, one hundred twenty-two million, six hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 307 560 614 1228 1535 2149 2456 3070 4298 4912 6140 8596 10745 12280 12347 17192 21490 24560 24694 34384 42980 49388 61735 85960 86429 98776 123470 171920 172858 197552 246940 345716 432145 493880 691432 864290 987760 1382864 1728580 3457160 3790529 6914320 7581058 15162116 18952645 26533703 30324232 37905290 53067406 60648464 75810580 106134812 132668515 151621160 212269624 265337030 303242320 424539248 530674060 1061348120 2122696240