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2238993136 = 241937672971
BaseRepresentation
bin1000010101110100…
…0101001011110000
312210001001122011201
42011131011023300
514041140240021
61010101220544
7106325061532
oct20535051360
95701048151
102238993136
11a49942756
12525a01754
13298b34b13
1417350b852
15d1870591
hex857452f0

2238993136 has 80 divisors (see below), whose sum is σ = 4761381760. Its totient is φ = 1016167680.

The previous prime is 2238993131. The next prime is 2238993137. The reversal of 2238993136 is 6313998322.

It is a super-2 number, since 2×22389931362 = 10026180526110228992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238993131) 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, 752131 + ... + 755101.

It is an arithmetic number, because the mean of its divisors is an integer number (59517272).

Almost surely, 22238993136 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 2238993136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380690880).

2238993136 is an abundant number, since it is smaller than the sum of its proper divisors (2522388624).

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

2238993136 is a wasteful number, since it uses less digits than its factorization.

2238993136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102 (or 3096 counting only the distinct ones).

The product of its digits is 419904, while the sum is 46.

The square root of 2238993136 is about 47318.0001268016. Note that the first 3 decimals coincide. The cubic root of 2238993136 is about 1308.2304519026.

The spelling of 2238993136 in words is "two billion, two hundred thirty-eight million, nine hundred ninety-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 37 38 67 74 76 134 148 152 268 296 304 536 592 703 1072 1273 1406 2479 2546 2812 2971 4958 5092 5624 5942 9916 10184 11248 11884 19832 20368 23768 39664 47101 47536 56449 94202 109927 112898 188404 199057 219854 225796 376808 398114 439708 451592 753616 796228 879416 903184 1592456 1758832 2088613 3184912 3782083 4177226 7365109 7564166 8354452 14730218 15128332 16708904 29460436 30256664 33417808 58920872 60513328 117841744 139937071 279874142 559748284 1119496568 2238993136