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2297329125 = 353713232927
BaseRepresentation
bin1000100011101110…
…0111010111100101
312221002211102002220
42020323213113211
514201104013000
61015543422553
7110633655360
oct21073472745
95832742086
102297329125
11a79867413
12541454a59
132a7c4b560
1417b1750d7
15d6a451a0
hex88ee75e5

2297329125 has 128 divisors (see below), whose sum is σ = 4911169536. Its totient is φ = 926956800.

The previous prime is 2297329109. The next prime is 2297329127. The reversal of 2297329125 is 5219237922.

It is a happy number.

It is not a de Polignac number, because 2297329125 - 24 = 2297329109 is a prime.

It is a super-2 number, since 2×22973291252 = 10555442217146531250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2297329127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 783412 + ... + 786338.

It is an arithmetic number, because the mean of its divisors is an integer number (38368512).

Almost surely, 22297329125 is an apocalyptic number.

2297329125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2297329125 is an abundant number, since it is smaller than the sum of its proper divisors (2613840411).

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

2297329125 is a wasteful number, since it uses less digits than its factorization.

2297329125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2978 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 2297329125 is about 47930.4613476649. The cubic root of 2297329125 is about 1319.4949715174.

The spelling of 2297329125 in words is "two billion, two hundred ninety-seven million, three hundred twenty-nine thousand, one hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 23 25 35 39 65 69 75 91 105 115 125 161 175 195 273 299 325 345 375 455 483 525 575 805 875 897 975 1365 1495 1625 1725 2093 2275 2415 2625 2875 2927 4025 4485 4875 6279 6825 7475 8625 8781 10465 11375 12075 14635 20125 20489 22425 31395 34125 37375 38051 43905 52325 60375 61467 67321 73175 102445 112125 114153 156975 190255 201963 219525 261625 266357 307335 336605 365875 471247 512225 570765 784875 799071 875173 951275 1009815 1097625 1331785 1413741 1536675 1683025 2356235 2561125 2625519 2853825 3995355 4375865 4756375 5049075 6126211 6658925 7068705 7683375 8415125 11781175 13127595 14269125 18378633 19976775 21879325 25245375 30631055 33294625 35343525 58905875 65637975 91893165 99883875 109396625 153155275 176717625 328189875 459465825 765776375 2297329125