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242229204 = 2236711867
BaseRepresentation
bin11100111000000…
…01111111010100
3121212210112000000
432130001333110
5444002313304
640011451300
76000625410
oct1634017724
9555715000
10242229204
11114806428
1269156b30
133b2516b9
1424255d40
15163eb939
hexe701fd4

242229204 has 84 divisors (see below), whose sum is σ = 726416544. Its totient is φ = 69202512.

The previous prime is 242229193. The next prime is 242229241. The reversal of 242229204 is 402922242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14479 + ... + 26345.

It is an arithmetic number, because the mean of its divisors is an integer number (8647816).

Almost surely, 2242229204 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 242229204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363208272).

242229204 is an abundant number, since it is smaller than the sum of its proper divisors (484187340).

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

242229204 is a wasteful number, since it uses less digits than its factorization.

242229204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11896 (or 11879 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 242229204 is about 15563.7143381649. The cubic root of 242229204 is about 623.3646454636.

It can be divided in two parts, 2422 and 29204, that added together give a triangular number (31626 = T251).

The spelling of 242229204 in words is "two hundred forty-two million, two hundred twenty-nine thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2268 2916 3402 5103 6804 10206 11867 20412 23734 35601 47468 71202 83069 106803 142404 166138 213606 249207 320409 332276 427212 498414 640818 747621 961227 996828 1281636 1495242 1922454 2242863 2883681 2990484 3844908 4485726 5767362 6728589 8651043 8971452 11534724 13457178 17302086 20185767 26914356 34604172 40371534 60557301 80743068 121114602 242229204