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242195604 = 223773127311
BaseRepresentation
bin11100110111110…
…01110010010100
3121212201210220120
432123321302110
5444000224404
640011031540
76000425430
oct1633716224
9555653816
10242195604
11114793162
126913b5b0
133b23c311
14242479c0
15163e19d9
hexe6f9c94

242195604 has 96 divisors (see below), whose sum is σ = 661979136. Its totient is φ = 67495680.

The previous prime is 242195581. The next prime is 242195621. The reversal of 242195604 is 406591242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778609 + ... + 778919.

It is an arithmetic number, because the mean of its divisors is an integer number (6895616).

Almost surely, 2242195604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242195604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330989568).

242195604 is an abundant number, since it is smaller than the sum of its proper divisors (419783532).

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

242195604 is a wasteful number, since it uses less digits than its factorization.

242195604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 242195604 is about 15562.6348668855. The cubic root of 242195604 is about 623.3358214955.

The spelling of 242195604 in words is "two hundred forty-two million, one hundred ninety-five thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 127 146 219 254 292 311 381 438 508 511 622 762 876 889 933 1022 1244 1524 1533 1778 1866 2044 2177 2667 3066 3556 3732 4354 5334 6132 6531 8708 9271 10668 13062 18542 22703 26124 27813 37084 39497 45406 55626 64897 68109 78994 90812 111252 118491 129794 136218 157988 158921 194691 236982 259588 272436 276479 317842 389382 473964 476763 552958 635684 778764 829437 953526 1105916 1658874 1907052 2883281 3317748 5766562 8649843 11533124 17299686 20182967 34599372 40365934 60548901 80731868 121097802 242195604