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2122138320 = 24358842243
BaseRepresentation
bin111111001111101…
…0100001011010000
312110220011210111120
41332133110023100
513321231411240
6550324442240
7103405610121
oct17637241320
95426153446
102122138320
11999989a25
124b2849380
1327a86c663
14161bb0048
15c648bad0
hex7e7d42d0

2122138320 has 40 divisors (see below), whose sum is σ = 6578629536. Its totient is φ = 565903488.

The previous prime is 2122138303. The next prime is 2122138327. The reversal of 2122138320 is 238312212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122138327) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4420882 + ... + 4421361.

Almost surely, 22122138320 is an apocalyptic number.

2122138320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122138320 is an abundant number, since it is smaller than the sum of its proper divisors (4456491216).

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

2122138320 is a wasteful number, since it uses less digits than its factorization.

2122138320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8842259 (or 8842253 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2122138320 is about 46066.6725518568. The cubic root of 2122138320 is about 1285.0634235175.

The spelling of 2122138320 in words is "two billion, one hundred twenty-two million, one hundred thirty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8842243 17684486 26526729 35368972 44211215 53053458 70737944 88422430 106106916 132633645 141475888 176844860 212213832 265267290 353689720 424427664 530534580 707379440 1061069160 2122138320