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2155734100 = 2252138319979
BaseRepresentation
bin1000000001111101…
…1110010001010100
312120020101122020201
42000133132101110
513403331442400
6553524510244
7104264303032
oct20037362124
95506348221
102155734100
11a06945a33
12501b4b384
13284803210
14166437552
15c93c606a
hex807de454

2155734100 has 72 divisors (see below), whose sum is σ = 5098736160. Its totient is φ = 786334080.

The previous prime is 2155734037. The next prime is 2155734107. The reversal of 2155734100 is 14375512.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155734107) 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, 97911 + ... + 117889.

It is an arithmetic number, because the mean of its divisors is an integer number (70815780).

Almost surely, 22155734100 is an apocalyptic number.

2155734100 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 2155734100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549368080).

2155734100 is an abundant number, since it is smaller than the sum of its proper divisors (2943002060).

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

2155734100 is a wasteful number, since it uses less digits than its factorization.

2155734100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20089 (or 20082 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 2155734100 is about 46429.8836957406. The cubic root of 2155734100 is about 1291.8092714330.

The spelling of 2155734100 in words is "two billion, one hundred fifty-five million, seven hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 83 100 130 166 260 325 332 415 650 830 1079 1300 1660 2075 2158 4150 4316 5395 8300 10790 19979 21580 26975 39958 53950 79916 99895 107900 199790 259727 399580 499475 519454 998950 1038908 1298635 1658257 1997900 2597270 3316514 5194540 6493175 6633028 8291285 12986350 16582570 21557341 25972700 33165140 41456425 43114682 82912850 86229364 107786705 165825700 215573410 431146820 538933525 1077867050 2155734100