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2197961400 = 2335231111779
BaseRepresentation
bin1000001100000010…
…0011101010111000
312200011212000012210
42003000203222320
514000134231100
61002033535120
7105316235505
oct20300435270
95604760183
102197961400
11a28767a28
125141144a0
1329049979b
1416bcaa4ac
15cce67c50
hex83023ab8

2197961400 has 96 divisors (see below), whose sum is σ = 6836169600. Its totient is φ = 584188800.

The previous prime is 2197961387. The next prime is 2197961407. The reversal of 2197961400 is 41697912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2197961407) 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, 180711 + ... + 192489.

It is an arithmetic number, because the mean of its divisors is an integer number (71210100).

Almost surely, 22197961400 is an apocalyptic number.

2197961400 is a gapful number since it is divisible by the number (20) 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 2197961400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418084800).

2197961400 is an abundant number, since it is smaller than the sum of its proper divisors (4638208200).

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

2197961400 is a wasteful number, since it uses less digits than its factorization.

2197961400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12109 (or 12100 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 2197961400 is about 46882.4210125714. The cubic root of 2197961400 is about 1300.1895975935.

The spelling of 2197961400 in words is "two billion, one hundred ninety-seven million, nine hundred sixty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 311 600 622 933 1244 1555 1866 2488 3110 3732 4665 6220 7464 7775 9330 11779 12440 15550 18660 23325 23558 31100 35337 37320 46650 47116 58895 62200 70674 93300 94232 117790 141348 176685 186600 235580 282696 294475 353370 471160 588950 706740 883425 1177900 1413480 1766850 2355800 3533700 3663269 7067400 7326538 10989807 14653076 18316345 21979614 29306152 36632690 43959228 54949035 73265380 87918456 91581725 109898070 146530760 183163450 219796140 274745175 366326900 439592280 549490350 732653800 1098980700 2197961400