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2156234200 = 235237674349
BaseRepresentation
bin1000000010000101…
…1000010111011000
312120021100001020221
42000201120113120
513403443443300
6553543325424
7104301455041
oct20041302730
95507301227
102156234200
11a0715773a
12502150874
13284949a33
141665278c8
15c947431a
hex808585d8

2156234200 has 96 divisors (see below), whose sum is σ = 5226786000. Its totient is φ = 826467840.

The previous prime is 2156234189. The next prime is 2156234207. The reversal of 2156234200 is 24326512.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2156234207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493626 + ... + 497974.

Almost surely, 22156234200 is an apocalyptic number.

2156234200 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 2156234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613393000).

2156234200 is an abundant number, since it is smaller than the sum of its proper divisors (3070551800).

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

2156234200 is a wasteful number, since it uses less digits than its factorization.

2156234200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4469 (or 4460 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2156234200 is about 46435.2689235241. The cubic root of 2156234200 is about 1291.9091575718.

The spelling of 2156234200 in words is "two billion, one hundred fifty-six million, two hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 67 74 100 134 148 185 200 268 296 335 370 536 670 740 925 1340 1480 1675 1850 2479 2680 3350 3700 4349 4958 6700 7400 8698 9916 12395 13400 17396 19832 21745 24790 34792 43490 49580 61975 86980 99160 108725 123950 160913 173960 217450 247900 291383 321826 434900 495800 582766 643652 804565 869800 1165532 1287304 1456915 1609130 2331064 2913830 3218260 4022825 5827660 6436520 7284575 8045650 10781171 11655320 14569150 16091300 21562342 29138300 32182600 43124684 53905855 58276600 86249368 107811710 215623420 269529275 431246840 539058550 1078117100 2156234200