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1202242140 = 22325114712919
BaseRepresentation
bin100011110101000…
…1100001001011100
310002210020020011200
41013222030021130
54430233222030
6315144115500
741535614061
oct10752141134
93083206150
101202242140
115676a8350
12296765b90
131620caba8
14b5954c68
157082ed60
hex47a8c25c

1202242140 has 144 divisors (see below), whose sum is σ = 4063288320. Its totient is φ = 285229440.

The previous prime is 1202242133. The next prime is 1202242141. The reversal of 1202242140 is 412422021.

1202242140 is a `hidden beast` number, since 1 + 202 + 2 + 421 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1202242141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86601 + ... + 99519.

It is an arithmetic number, because the mean of its divisors is an integer number (28217280).

Almost surely, 21202242140 is an apocalyptic number.

1202242140 is a gapful number since it is divisible by the number (10) 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 1202242140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031644160).

1202242140 is an abundant number, since it is smaller than the sum of its proper divisors (2861046180).

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

1202242140 is a wasteful number, since it uses less digits than its factorization.

1202242140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12992 (or 12987 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1202242140 is about 34673.3635518679. The cubic root of 1202242140 is about 1063.3199988719.

Adding to 1202242140 its reverse (412422021), we get a palindrome (1614664161).

It can be divided in two parts, 1202 and 242140, that added together give a palindrome (243342).

The spelling of 1202242140 in words is "one billion, two hundred two million, two hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 47 55 60 66 90 94 99 110 132 141 165 180 188 198 220 235 282 330 396 423 470 495 517 564 660 705 846 940 990 1034 1410 1551 1692 1980 2068 2115 2585 2820 3102 4230 4653 5170 6204 7755 8460 9306 10340 12919 15510 18612 23265 25838 31020 38757 46530 51676 64595 77514 93060 116271 129190 142109 155028 193785 232542 258380 284218 387570 426327 465084 568436 581355 607193 710545 775140 852654 1162710 1214386 1278981 1421090 1705308 1821579 2131635 2325420 2428772 2557962 2842180 3035965 3643158 4263270 5115924 5464737 6071930 6394905 6679123 7286316 8526540 9107895 10929474 12143860 12789810 13358246 18215790 20037369 21858948 25579620 26716492 27323685 33395615 36431580 40074738 54647370 60112107 66791230 80149476 100186845 109294740 120224214 133582460 200373690 240448428 300560535 400747380 601121070 1202242140