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2122158916440 = 2332531190157609
BaseRepresentation
bin11110111000011010100…
…001110100001101011000
321111212122220101210001200
4132320122201310031120
5234232140140311230
64302523434314200
7306215035106343
oct36703241641530
97455586353050
102122158916440
11749003424872
122a3356888960
13125170ac7294
14749da81b45a
153a307787160
hex1ee1a874358

2122158916440 has 96 divisors (see below), whose sum is σ = 7119500918400. Its totient is φ = 547653911040.

The previous prime is 2122158916421. The next prime is 2122158916441. The reversal of 2122158916440 is 446198512212.

2122158916440 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 1 + 589 + 1 + 64 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122158916441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95067645 + ... + 95089964.

It is an arithmetic number, because the mean of its divisors is an integer number (74161467900).

Almost surely, 22122158916440 is an apocalyptic number.

2122158916440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122158916440 is an abundant number, since it is smaller than the sum of its proper divisors (4997342001960).

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

2122158916440 is a wasteful number, since it uses less digits than its factorization.

2122158916440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190157657 (or 190157650 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2122158916440 in words is "two trillion, one hundred twenty-two billion, one hundred fifty-eight million, nine hundred sixteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 190157609 380315218 570472827 760630436 950788045 1140945654 1521260872 1711418481 1901576090 2281891308 2852364135 3422836962 3803152180 4563782616 5704728270 5894885879 6845673924 7606304360 8557092405 11409456540 11789771758 13691347848 17114184810 17684657637 22818913080 23579543516 29474429395 34228369620 35369315274 47159087032 53053972911 58948858790 68456739240 70738630548 88423288185 106107945822 117897717580 141477261096 176846576370 212215891644 235795435160 265269864555 353693152740 424431783288 530539729110 707386305480 1061079458220 2122158916440