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2122207488 = 28324012297
BaseRepresentation
bin111111001111110…
…0101000100000000
312110220022022101100
41332133211010000
513321241114423
6550330134400
7103406315562
oct17637450400
95426268340
102122207488
11999a26995
124b2881400
1327a894c9b
14161bcb332
15c64a2343
hex7e7e5100

2122207488 has 108 divisors (see below), whose sum is σ = 6136776828. Its totient is φ = 705331200.

The previous prime is 2122207481. The next prime is 2122207499. The reversal of 2122207488 is 8847022212.

It can be written as a sum of positive squares in 2 ways, for example, as 1708003584 + 414203904 = 41328^2 + 20352^2 .

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 (2122207481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 922756 + ... + 925052.

Almost surely, 22122207488 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 2122207488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068388414).

2122207488 is an abundant number, since it is smaller than the sum of its proper divisors (4014569340).

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

2122207488 is a wasteful number, since it uses less digits than its factorization.

2122207488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2122207488 is about 46067.4232837045. The cubic root of 2122207488 is about 1285.0773849544.

The spelling of 2122207488 in words is "two billion, one hundred twenty-two million, two hundred seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 401 576 768 802 1152 1203 1604 2297 2304 2406 3208 3609 4594 4812 6416 6891 7218 9188 9624 12832 13782 14436 18376 19248 20673 25664 27564 28872 36752 38496 41346 51328 55128 57744 73504 76992 82692 102656 110256 115488 147008 153984 165384 220512 230976 294016 307968 330768 441024 461952 588032 661536 882048 921097 923904 1323072 1764096 1842194 2646144 2763291 3684388 5292288 5526582 7368776 8289873 11053164 14737552 16579746 22106328 29475104 33159492 44212656 58950208 66318984 88425312 117900416 132637968 176850624 235800832 265275936 353701248 530551872 707402496 1061103744 2122207488