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2234952144 = 243237419473
BaseRepresentation
bin1000010100110110…
…1010100111010000
312202202110022222100
42011031222213100
514034121432034
61005434440400
7106245531315
oct20515524720
95682408870
102234952144
11a47632697
12524593100
1329804b6b9
14172b78d0c
15d1323099
hex8536a9d0

2234952144 has 60 divisors (see below), whose sum is σ = 6423824836. Its totient is φ = 724847616.

The previous prime is 2234952143. The next prime is 2234952199. The reversal of 2234952144 is 4412594322.

It is a happy number.

2234952144 is a `hidden beast` number, since 2 + 23 + 495 + 2 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 980942400 + 1254009744 = 31320^2 + 35412^2 .

It is a super-2 number, since 2×22349521442 = 9990022171940393472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2234952099 and 2234952108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234952143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204409 + ... + 215064.

Almost surely, 22234952144 is an apocalyptic number.

2234952144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2234952144 is an abundant number, since it is smaller than the sum of its proper divisors (4188872692).

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

2234952144 is a wasteful number, since it uses less digits than its factorization.

2234952144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419524 (or 419515 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2234952144 is about 47275.2804751066. The cubic root of 2234952144 is about 1307.4429353577.

The spelling of 2234952144 in words is "two billion, two hundred thirty-four million, nine hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 419473 838946 1258419 1677892 2516838 3355784 3775257 5033676 6711568 7550514 10067352 15101028 15520501 20134704 30202056 31041002 46561503 60404112 62082004 93123006 124164008 139684509 186246012 248328016 279369018 372492024 558738036 744984048 1117476072 2234952144