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1226597040 = 243351573617
BaseRepresentation
bin100100100011100…
…0110001010110000
310011111001120211000
41021013012022300
510003002101130
6321414122000
742252621444
oct11107061260
93144046730
101226597040
1157a422569
122a2950300
13167177586
14b8c94824
1572a41260
hex491c62b0

1226597040 has 160 divisors (see below), whose sum is σ = 4253031360. Its totient is φ = 324919296.

The previous prime is 1226596919. The next prime is 1226597063. The reversal of 1226597040 is 407956221.

1226597040 is a `hidden beast` number, since 1 + 2 + 26 + 597 + 0 + 40 = 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 = 1226596986 and 1226597004.

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, 337312 + ... + 340928.

It is an arithmetic number, because the mean of its divisors is an integer number (26581446).

Almost surely, 21226597040 is an apocalyptic number.

1226597040 is a gapful number since it is divisible by the number (10) 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 1226597040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126515680).

1226597040 is an abundant number, since it is smaller than the sum of its proper divisors (3026434320).

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

1226597040 is a wasteful number, since it uses less digits than its factorization.

1226597040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1226597040 is about 35022.8074260188. The cubic root of 1226597040 is about 1070.4522617207.

The spelling of 1226597040 in words is "one billion, two hundred twenty-six million, five hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 157 180 216 240 270 314 360 432 471 540 628 720 785 942 1080 1256 1413 1570 1884 2160 2355 2512 2826 3140 3617 3768 4239 4710 5652 6280 7065 7234 7536 8478 9420 10851 11304 12560 14130 14468 16956 18085 18840 21195 21702 22608 28260 28936 32553 33912 36170 37680 42390 43404 54255 56520 57872 65106 67824 72340 84780 86808 97659 108510 113040 130212 144680 162765 169560 173616 195318 217020 260424 289360 325530 339120 390636 434040 488295 520848 567869 651060 781272 868080 976590 1135738 1302120 1562544 1703607 1953180 2271476 2604240 2839345 3407214 3906360 4542952 5110821 5678690 6814428 7812720 8518035 9085904 10221642 11357380 13628856 15332463 17036070 20443284 22714760 25554105 27257712 30664926 34072140 40886568 45429520 51108210 61329852 68144280 76662315 81773136 102216420 122659704 136288560 153324630 204432840 245319408 306649260 408865680 613298520 1226597040