Search a number
-
+
5737225140 = 223554725117
BaseRepresentation
bin1010101011111011…
…10001101110110100
3112210211121020100000
411111331301232310
543222212201030
62345144351300
7262113415623
oct52575615664
915724536300
105737225140
112484572189
121141475530
1370580279a
143c5d696ba
15238a2d860
hex155f71bb4

5737225140 has 144 divisors (see below), whose sum is σ = 18432191232. Its totient is φ = 1497315456.

The previous prime is 5737225129. The next prime is 5737225171. The reversal of 5737225140 is 415227375.

5737225140 is a `hidden beast` number, since 5 + 73 + 72 + 2 + 514 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5737225095 and 5737225104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215862 + ... + 240978.

It is an arithmetic number, because the mean of its divisors is an integer number (128001328).

Almost surely, 25737225140 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 5737225140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9216095616).

5737225140 is an abundant number, since it is smaller than the sum of its proper divisors (12694966092).

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

5737225140 is a wasteful number, since it uses less digits than its factorization.

5737225140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25188 (or 25174 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 5737225140 is about 75744.4726696278. The cubic root of 5737225140 is about 1790.1962000018.

The spelling of 5737225140 in words is "five billion, seven hundred thirty-seven million, two hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 81 90 94 108 135 141 162 180 188 235 243 270 282 324 405 423 470 486 540 564 705 810 846 940 972 1215 1269 1410 1620 1692 2115 2430 2538 2820 3807 4230 4860 5076 6345 7614 8460 11421 12690 15228 19035 22842 25117 25380 38070 45684 50234 57105 75351 76140 100468 114210 125585 150702 226053 228420 251170 301404 376755 452106 502340 678159 753510 904212 1130265 1180499 1356318 1507020 2034477 2260530 2360998 2712636 3390795 3541497 4068954 4521060 4721996 5902495 6103431 6781590 7082994 8137908 10172385 10624491 11804990 12206862 13563180 14165988 17707485 20344770 21248982 23609980 24413724 30517155 31873473 35414970 40689540 42497964 53122455 61034310 63746946 70829940 95620419 106244910 122068620 127493892 159367365 191240838 212489820 286861257 318734730 382481676 478102095 573722514 637469460 956204190 1147445028 1434306285 1912408380 2868612570 5737225140