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2252038384 = 241929467547
BaseRepresentation
bin1000011000111011…
…0110000011110000
312210221121101220001
42012032312003300
514103010212014
61011244555344
7106544003401
oct20616660360
95727541801
102252038384
11a56242852
1252a252b54
1329b7517bb
141751459a8
15d2a9a974
hex863b60f0

2252038384 has 80 divisors (see below), whose sum is σ = 4770230400. Its totient is φ = 1025885952.

The previous prime is 2252038367. The next prime is 2252038409. The reversal of 2252038384 is 4838302522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4116799 + ... + 4117345.

It is an arithmetic number, because the mean of its divisors is an integer number (59627880).

Almost surely, 22252038384 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 2252038384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385115200).

2252038384 is an abundant number, since it is smaller than the sum of its proper divisors (2518192016).

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

2252038384 is a wasteful number, since it uses less digits than its factorization.

2252038384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 2252038384 is about 47455.6464922774. The cubic root of 2252038384 is about 1310.7662870987.

The spelling of 2252038384 in words is "two billion, two hundred fifty-two million, thirty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 19 29 38 58 76 116 152 232 304 464 467 547 551 934 1094 1102 1868 2188 2204 3736 4376 4408 7472 8752 8816 8873 10393 13543 15863 17746 20786 27086 31726 35492 41572 54172 63452 70984 83144 108344 126904 141968 166288 216688 253808 255449 257317 301397 510898 514634 602794 1021796 1029268 1205588 2043592 2058536 2411176 4087184 4117072 4822352 4853531 7408021 9707062 14816042 19414124 29632084 38828248 59264168 77656496 118528336 140752399 281504798 563009596 1126019192 2252038384