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2256073300 = 22521319241379
BaseRepresentation
bin1000011001111000…
…1111001001010100
312211020012101202101
42012132033021110
514110023321200
61011511251444
7106623210115
oct20636171124
95736171671
102256073300
11a58549298
1252b679b84
1329c535220
141758b620c
15d30e626a
hex8678f254

2256073300 has 144 divisors (see below), whose sum is σ = 5587489600. Its totient is φ = 783820800.

The previous prime is 2256073229. The next prime is 2256073301. The reversal of 2256073300 is 33706522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256073301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5952511 + ... + 5952889.

Almost surely, 22256073300 is an apocalyptic number.

2256073300 is a gapful number since it is divisible by the number (20) 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 2256073300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793744800).

2256073300 is an abundant number, since it is smaller than the sum of its proper divisors (3331416300).

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

2256073300 is a wasteful number, since it uses less digits than its factorization.

2256073300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 2256073300 is about 47498.1399635817. The cubic root of 2256073300 is about 1311.5486414941.

Adding to 2256073300 its reverse (33706522), we get a palindrome (2289779822).

The spelling of 2256073300 in words is "two billion, two hundred fifty-six million, seventy-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 241 247 260 325 379 380 475 482 494 650 758 950 964 988 1205 1235 1300 1516 1895 1900 2410 2470 3133 3790 4579 4820 4927 4940 6025 6175 6266 7201 7580 9158 9475 9854 12050 12350 12532 14402 15665 18316 18950 19708 22895 24100 24635 24700 28804 31330 36005 37900 45790 49270 59527 62660 72010 78325 91339 91580 93613 98540 114475 119054 123175 144020 156650 180025 182678 187226 228950 238108 246350 297635 313300 360050 365356 374452 456695 457900 468065 492700 595270 720100 913390 936130 1187407 1190540 1488175 1735441 1826780 1872260 2283475 2340325 2374814 2976350 3470882 4566950 4680650 4749628 5937035 5952700 6941764 8677205 9133900 9361300 11874070 17354410 22560733 23748140 29685175 34708820 43386025 45121466 59370350 86772050 90242932 112803665 118740700 173544100 225607330 451214660 564018325 1128036650 2256073300