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215121144 = 23373134091
BaseRepresentation
bin11001101001001…
…11110011111000
3112222210021201210
430310213303320
5420032334034
633202443120
75221333230
oct1464476370
9488707653
10215121144
11100480777
12600634a0
133574cb24
14207dacc0
1513d448e9
hexcd27cf8

215121144 has 64 divisors (see below), whose sum is σ = 616746240. Its totient is φ = 61251840.

The previous prime is 215121133. The next prime is 215121161. The reversal of 215121144 is 441121512.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 215121144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50539 + ... + 54629.

It is an arithmetic number, because the mean of its divisors is an integer number (9636660).

Almost surely, 2215121144 is an apocalyptic number.

215121144 is a gapful number since it is divisible by the number (24) 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 215121144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308373120).

215121144 is an abundant number, since it is smaller than the sum of its proper divisors (401625096).

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

215121144 is a wasteful number, since it uses less digits than its factorization.

215121144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4420 (or 4416 counting only the distinct ones).

The product of its digits is 320, while the sum is 21.

The square root of 215121144 is about 14667.0086929817. The cubic root of 215121144 is about 599.1851382794.

Adding to 215121144 its reverse (441121512), we get a palindrome (656242656).

The spelling of 215121144 in words is "two hundred fifteen million, one hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 313 626 939 1252 1878 2191 2504 3756 4091 4382 6573 7512 8182 8764 12273 13146 16364 17528 24546 26292 28637 32728 49092 52584 57274 85911 98184 114548 171822 229096 343644 687288 1280483 2560966 3841449 5121932 7682898 8963381 10243864 15365796 17926762 26890143 30731592 35853524 53780286 71707048 107560572 215121144