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2122012320 = 25354420859
BaseRepresentation
bin111111001111011…
…0101011010100000
312110212221101122220
41332132311122200
513321213343240
6550322031040
7103404543561
oct17636653240
95425841586
102122012320
1199990329a
124b27a8480
1327a8271bc
14161b7a168
15c64645d0
hex7e7b56a0

2122012320 has 48 divisors (see below), whose sum is σ = 6684340320. Its totient is φ = 565869824.

The previous prime is 2122012313. The next prime is 2122012339. The reversal of 2122012320 is 232102212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2122012320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2209950 + ... + 2210909.

It is an arithmetic number, because the mean of its divisors is an integer number (139257090).

Almost surely, 22122012320 is an apocalyptic number.

2122012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122012320 is an abundant number, since it is smaller than the sum of its proper divisors (4562328000).

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

2122012320 is a wasteful number, since it uses less digits than its factorization.

2122012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4420877 (or 4420869 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2122012320 is about 46065.3049485185. The cubic root of 2122012320 is about 1285.0379898633.

Adding to 2122012320 its reverse (232102212), we get a palindrome (2354114532).

The spelling of 2122012320 in words is "two billion, one hundred twenty-two million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4420859 8841718 13262577 17683436 22104295 26525154 35366872 44208590 53050308 66312885 70733744 88417180 106100616 132625770 141467488 176834360 212201232 265251540 353668720 424402464 530503080 707337440 1061006160 2122012320