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2242636368 = 243741173941
BaseRepresentation
bin1000010110101011…
…1110101001010000
312210021220201202020
42011222332221100
514043103330433
61010311251440
7106401044310
oct20552765120
95707821666
102242636368
11a50a00995
12527079b80
1329980c18b
14173bb9440
15d1d3ecb3
hex85abea50

2242636368 has 160 divisors (see below), whose sum is σ = 6829062912. Its totient is φ = 620851200.

The previous prime is 2242636343. The next prime is 2242636369. The reversal of 2242636368 is 8636362422.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242636369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2382778 + ... + 2383718.

Almost surely, 22242636368 is an apocalyptic number.

2242636368 is a gapful number since it is divisible by the number (28) 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 2242636368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414531456).

2242636368 is an abundant number, since it is smaller than the sum of its proper divisors (4586426544).

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

2242636368 is a wasteful number, since it uses less digits than its factorization.

2242636368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1167 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The square root of 2242636368 is about 47356.4817949982. The cubic root of 2242636368 is about 1308.9396403565.

The spelling of 2242636368 in words is "two billion, two hundred forty-two million, six hundred thirty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 173 246 287 328 336 346 492 519 574 656 692 861 941 984 1038 1148 1211 1384 1722 1882 1968 2076 2296 2422 2768 2823 3444 3633 3764 4152 4592 4844 5646 6587 6888 7093 7266 7528 8304 9688 11292 13174 13776 14186 14532 15056 19376 19761 21279 22584 26348 28372 29064 38581 39522 42558 45168 49651 52696 56744 58128 77162 79044 85116 99302 105392 113488 115743 148953 154324 158088 162793 170232 198604 231486 270067 297906 308648 316176 325586 340464 397208 462972 488379 540134 595812 617296 651172 794416 810201 925944 976758 1080268 1139551 1191624 1302344 1620402 1851888 1953516 2160536 2279102 2383248 2604688 3240804 3418653 3907032 4321072 4558204 6481608 6674513 6837306 7814064 9116408 12963216 13349026 13674612 18232816 20023539 26698052 27349224 40047078 46721591 53396104 54698448 80094156 93443182 106792208 140164773 160188312 186886364 280329546 320376624 373772728 560659092 747545456 1121318184 2242636368