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242230776 = 23331536143
BaseRepresentation
bin11100111000000…
…10010111111000
3121212210121011020
432130002113320
5444002341101
640011502440
76000633114
oct1634022770
9555717136
10242230776
11114807627
1269157a20
133b252328
1424256744
15163ec136
hexe7025f8

242230776 has 64 divisors (see below), whose sum is σ = 637009920. Its totient is φ = 76652160.

The previous prime is 242230763. The next prime is 242230777. The reversal of 242230776 is 677032242.

242230776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242230777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36361 + ... + 42503.

It is an arithmetic number, because the mean of its divisors is an integer number (9953280).

Almost surely, 2242230776 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 242230776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318504960).

242230776 is an abundant number, since it is smaller than the sum of its proper divisors (394779144).

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

242230776 is a wasteful number, since it uses less digits than its factorization.

242230776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6236 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 242230776 is about 15563.7648401664. The cubic root of 242230776 is about 623.3659939483.

The spelling of 242230776 in words is "two hundred forty-two million, two hundred thirty thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 31 53 62 93 106 124 159 186 212 248 318 372 424 636 744 1272 1643 3286 4929 6143 6572 9858 12286 13144 18429 19716 24572 36858 39432 49144 73716 147432 190433 325579 380866 571299 651158 761732 976737 1142598 1302316 1523464 1953474 2285196 2604632 3906948 4570392 7813896 10092949 20185898 30278847 40371796 60557694 80743592 121115388 242230776