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2312556240 = 2435173715319
BaseRepresentation
bin1000100111010110…
…1100111011010000
312222011111000210010
42021311230323100
514214003244430
61021250034520
7111210255321
oct21165547320
95864430703
102312556240
11a87417805
12546578a40
132ab150397
1417d1ba448
15d8051cb0
hex89d6ced0

2312556240 has 160 divisors (see below), whose sum is σ = 7796286720. Its totient is φ = 564682752.

The previous prime is 2312556227. The next prime is 2312556241. The reversal of 2312556240 is 426552132.

2312556240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2312556198 and 2312556207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312556241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143301 + ... + 158619.

It is an arithmetic number, because the mean of its divisors is an integer number (48726792).

Almost surely, 22312556240 is an apocalyptic number.

2312556240 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 2312556240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898143360).

2312556240 is an abundant number, since it is smaller than the sum of its proper divisors (5483730480).

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

2312556240 is a wasteful number, since it uses less digits than its factorization.

2312556240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15389 (or 15383 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2312556240 is about 48089.0449062986. The cubic root of 2312556240 is about 1322.4038382869.

The spelling of 2312556240 in words is "two billion, three hundred twelve million, five hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 37 40 48 51 60 68 74 80 85 102 111 120 136 148 170 185 204 222 240 255 272 296 340 370 408 444 510 555 592 629 680 740 816 888 1020 1110 1258 1360 1480 1776 1887 2040 2220 2516 2960 3145 3774 4080 4440 5032 6290 7548 8880 9435 10064 12580 15096 15319 18870 25160 30192 30638 37740 45957 50320 61276 75480 76595 91914 122552 150960 153190 183828 229785 245104 260423 306380 367656 459570 520846 566803 612760 735312 781269 919140 1041692 1133606 1225520 1302115 1562538 1700409 1838280 2083384 2267212 2604230 2834015 3125076 3400818 3676560 3906345 4166768 4534424 5208460 5668030 6250152 6801636 7812690 8502045 9068848 9635651 10416920 11336060 12500304 13603272 15625380 17004090 19271302 20833840 22672120 27206544 28906953 31250760 34008180 38542604 45344240 48178255 57813906 62501520 68016360 77085208 96356510 115627812 136032720 144534765 154170416 192713020 231255624 289069530 385426040 462511248 578139060 770852080 1156278120 2312556240