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2122165104 = 243238572243
BaseRepresentation
bin111111001111101…
…1010101101110000
312110220020011020120
41332133122231300
513321233240404
6550325210240
7103406051163
oct17637325560
95426204216
102122165104
119999a8064
124b2860980
1327a87b8c7
14161bb9ada
15c64949d9
hex7e7dab70

2122165104 has 80 divisors (see below), whose sum is σ = 5729847552. Its totient is φ = 675541504.

The previous prime is 2122165099. The next prime is 2122165117. The reversal of 2122165104 is 4015612212.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 945007 + ... + 947249.

Almost surely, 22122165104 is an apocalyptic number.

2122165104 is a gapful number since it is divisible by the number (24) 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 2122165104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864923776).

2122165104 is an abundant number, since it is smaller than the sum of its proper divisors (3607682448).

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

2122165104 is a wasteful number, since it uses less digits than its factorization.

2122165104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2122165104 is about 46066.9632600196. The cubic root of 2122165104 is about 1285.0688298559.

Adding to 2122165104 its reverse (4015612212), we get a palindrome (6137777316).

The spelling of 2122165104 in words is "two billion, one hundred twenty-two million, one hundred sixty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 857 1104 1714 2243 2571 3428 4486 5142 6729 6856 8972 10284 13458 13712 17944 19711 20568 26916 35888 39422 41136 51589 53832 59133 78844 103178 107664 118266 154767 157688 206356 236532 309534 315376 412712 473064 619068 825424 946128 1238136 1922251 2476272 3844502 5766753 7689004 11533506 15378008 23067012 30756016 44211773 46134024 88423546 92268048 132635319 176847092 265270638 353694184 530541276 707388368 1061082552 2122165104