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2122644120 = 2335371912503
BaseRepresentation
bin111111010000100…
…1111101010011000
312110221010111022220
41332201033222120
513321344102440
6550343344040
7103413114552
oct17641175230
95427114286
102122644120
1199a1a4a43
124b2a52020
1327a9b894c
14161ca24d2
15c653b8d0
hex7e84fa98

2122644120 has 128 divisors (see below), whose sum is σ = 6576906240. Its totient is φ = 547637760.

The previous prime is 2122644107. The next prime is 2122644137. The reversal of 2122644120 is 214462212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 846789 + ... + 849291.

It is an arithmetic number, because the mean of its divisors is an integer number (51382080).

Almost surely, 22122644120 is an apocalyptic number.

2122644120 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 2122644120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288453120).

2122644120 is an abundant number, since it is smaller than the sum of its proper divisors (4454262120).

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

2122644120 is a wasteful number, since it uses less digits than its factorization.

2122644120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2122644120 is about 46072.1620938284. The cubic root of 2122644120 is about 1285.1655113409.

The spelling of 2122644120 in words is "two billion, one hundred twenty-two million, six hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 191 222 296 370 382 444 555 573 740 764 888 955 1110 1146 1480 1528 1910 2220 2292 2503 2865 3820 4440 4584 5006 5730 7067 7509 7640 10012 11460 12515 14134 15018 20024 21201 22920 25030 28268 30036 35335 37545 42402 50060 56536 60072 70670 75090 84804 92611 100120 106005 141340 150180 169608 185222 212010 277833 282680 300360 370444 424020 463055 478073 555666 740888 848040 926110 956146 1111332 1389165 1434219 1852220 1912292 2222664 2390365 2778330 2868438 3704440 3824584 4780730 5556660 5736876 7171095 9561460 11113320 11473752 14342190 17688701 19122920 28684380 35377402 53066103 57368760 70754804 88443505 106132206 141509608 176887010 212264412 265330515 353774020 424528824 530661030 707548040 1061322060 2122644120