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242018172 = 2233111371487
BaseRepresentation
bin11100110110011…
…10011101111100
3121212101210112000
432123032131330
5443424040142
640003142300
75666056224
oct1633163574
9555353460
10242018172
11114681920
1269074990
133b1a9626
14241dd084
15163a914c
hexe6ce77c

242018172 has 96 divisors (see below), whose sum is σ = 689955840. Its totient is φ = 72754560.

The previous prime is 242018149. The next prime is 242018191. The reversal of 242018172 is 271810242.

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 31 ways as a sum of consecutive naturals, for example, 162013 + ... + 163499.

It is an arithmetic number, because the mean of its divisors is an integer number (7187040).

Almost surely, 2242018172 is an apocalyptic number.

242018172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242018172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344977920).

242018172 is an abundant number, since it is smaller than the sum of its proper divisors (447937668).

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

242018172 is a wasteful number, since it uses less digits than its factorization.

242018172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 242018172 is about 15556.9332453411. The cubic root of 242018172 is about 623.1835661297.

The spelling of 242018172 in words is "two hundred forty-two million, eighteen thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 137 198 274 297 396 411 548 594 822 1188 1233 1487 1507 1644 2466 2974 3014 3699 4461 4521 4932 5948 6028 7398 8922 9042 13383 13563 14796 16357 17844 18084 26766 27126 32714 40149 40689 49071 53532 54252 65428 80298 81378 98142 147213 160596 162756 196284 203719 294426 407438 441639 588852 611157 814876 883278 1222314 1766556 1833471 2240909 2444628 3666942 4481818 5500413 6722727 7333884 8963636 11000826 13445454 20168181 22001652 26890908 40336362 60504543 80672724 121009086 242018172