Search a number
-
+
242210592 = 25321364693
BaseRepresentation
bin11100110111111…
…01011100100000
3121212202120110200
432123331130200
5444001214332
640011225200
76000520221
oct1633753440
9555676420
10242210592
111147a3448
1269148200
133b2460a0
142424d248
15163e617c
hexe6fd720

242210592 has 72 divisors (see below), whose sum is σ = 741781404. Its totient is φ = 74525184.

The previous prime is 242210587. The next prime is 242210623. The reversal of 242210592 is 295012242.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 231161616 + 11048976 = 15204^2 + 3324^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 28603 + ... + 36090.

Almost surely, 2242210592 is an apocalyptic number.

It is an amenable number.

242210592 is an abundant number, since it is smaller than the sum of its proper divisors (499570812).

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

242210592 is a wasteful number, since it uses less digits than its factorization.

242210592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64722 (or 64711 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 242210592 is about 15563.1163974315. The cubic root of 242210592 is about 623.3486793735.

The spelling of 242210592 in words is "two hundred forty-two million, two hundred ten thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 64693 129386 194079 258772 388158 517544 582237 776316 841009 1035088 1164474 1552632 1682018 2070176 2328948 2523027 3105264 3364036 4657896 5046054 6210528 6728072 7569081 9315792 10092108 13456144 15138162 18631584 20184216 26912288 30276324 40368432 60552648 80736864 121105296 242210592