Search a number
-
+
2122324320 = 253519232711
BaseRepresentation
bin111111010000000…
…0001100101100000
312110220112020122110
41332200001211200
513321303334240
6550332435320
7103410313314
oct17640014540
95426466573
102122324320
11999aa6746
124b2918b40
1327a90620c
14161c1bb44
15c64c6c80
hex7e801960

2122324320 has 96 divisors (see below), whose sum is σ = 7037210880. Its totient is φ = 536163840.

The previous prime is 2122324291. The next prime is 2122324327. The reversal of 2122324320 is 234232212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122324327) 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, 107236 + ... + 125475.

It is an arithmetic number, because the mean of its divisors is an integer number (73304280).

Almost surely, 22122324320 is an apocalyptic number.

2122324320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122324320 is an abundant number, since it is smaller than the sum of its proper divisors (4914886560).

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

2122324320 is a wasteful number, since it uses less digits than its factorization.

2122324320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232748 (or 232740 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2122324320 is about 46068.6913206789. The cubic root of 2122324320 is about 1285.1009665955.

Adding to 2122324320 its reverse (234232212), we get a palindrome (2356556532).

The spelling of 2122324320 in words is "two billion, one hundred twenty-two million, three hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 232711 465422 698133 930844 1163555 1396266 1861688 2327110 2792532 3490665 3723376 4421509 4654220 5585064 6981330 7446752 8843018 9308440 11170128 13264527 13962660 17686036 18616880 22107545 22340256 26529054 27925320 35372072 37233760 44215090 53058108 55850640 66322635 70744144 88430180 106116216 111701280 132645270 141488288 176860360 212232432 265290540 353720720 424464864 530581080 707441440 1061162160 2122324320