Search a number
-
+
2942212176 = 243237552217
BaseRepresentation
bin1010111101011110…
…1001100001010000
321121001021212100100
42233113221201100
522011201242201
61203541452400
7132624251031
oct25727514120
97531255310
102942212176
11127a890612
126a1411100
1337b730467
141dca82a88
1512347b886
hexaf5e9850

2942212176 has 60 divisors (see below), whose sum is σ = 8456666452. Its totient is φ = 954229248.

The previous prime is 2942212153. The next prime is 2942212181. The reversal of 2942212176 is 6712122492.

2942212176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2775182400 + 167029776 = 52680^2 + 12924^2 .

It is a super-2 number, since 2×29422121762 = 17313224977205309952, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2942212176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270781 + ... + 281436.

Almost surely, 22942212176 is an apocalyptic number.

It is an amenable number.

2942212176 is an abundant number, since it is smaller than the sum of its proper divisors (5514454276).

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

2942212176 is a wasteful number, since it uses less digits than its factorization.

2942212176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552268 (or 552259 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2942212176 is about 54242.1623462782. The cubic root of 2942212176 is about 1432.9289692340.

The spelling of 2942212176 in words is "two billion, nine hundred forty-two million, two hundred twelve thousand, one hundred seventy-six".

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 552217 1104434 1656651 2208868 3313302 4417736 4969953 6626604 8835472 9939906 13253208 19879812 20432029 26506416 39759624 40864058 61296087 79519248 81728116 122592174 163456232 183888261 245184348 326912464 367776522 490368696 735553044 980737392 1471106088 2942212176