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2255225062640 = 2451137431610783
BaseRepresentation
bin100000110100010101111…
…000111000010011110000
321222121010111211101112212
4200310111320320103300
5243422200104001030
64444011443511252
7321635402512424
oct40642570702360
97877114741485
102255225062640
1179a487832a20
123050b2388528
13134888ca29b4
147b2211cab84
153d9e48a8595
hex20d15e384f0

2255225062640 has 160 divisors (see below), whose sum is σ = 6011291252736. Its totient is φ = 779360762880.

The previous prime is 2255225062553. The next prime is 2255225062691. The reversal of 2255225062640 is 462605225522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594689 + ... + 2205471.

Almost surely, 22255225062640 is an apocalyptic number.

2255225062640 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 2255225062640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005645626368).

2255225062640 is an abundant number, since it is smaller than the sum of its proper divisors (3756066190096).

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

2255225062640 is a wasteful number, since it uses less digits than its factorization.

2255225062640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610887 (or 1610881 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 41.

The spelling of 2255225062640 in words is "two trillion, two hundred fifty-five billion, two hundred twenty-five million, sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 43 44 55 74 80 86 88 110 148 172 176 185 215 220 296 344 370 407 430 440 473 592 688 740 814 860 880 946 1480 1591 1628 1720 1892 2035 2365 2960 3182 3256 3440 3784 4070 4730 6364 6512 7568 7955 8140 9460 12728 15910 16280 17501 18920 25456 31820 32560 35002 37840 63640 70004 87505 127280 140008 175010 280016 350020 700040 1400080 1610783 3221566 6443132 8053915 12886264 16107830 17718613 25772528 32215660 35437226 59598971 64431320 69263669 70874452 88593065 119197942 128862640 138527338 141748904 177186130 238395884 277054676 283497808 297994855 346318345 354372260 476791768 554109352 595989710 655588681 692636690 708744520 761900359 953583536 1108218704 1191979420 1311177362 1385273380 1417489040 1523800718 2383958840 2562755753 2622354724 2770546760 3047601436 3277943405 3809501795 4767917680 5125511506 5244709448 5541093520 6095202872 6555886810 7619003590 10251023012 10489418896 12190405744 12813778765 13111773620 15238007180 20502046024 25627557530 26223547240 28190313283 30476014360 41004092048 51255115060 52447094480 56380626566 60952028720 102510230120 112761253132 140951566415 205020460240 225522506264 281903132830 451045012528 563806265660 1127612531320 2255225062640