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2212112014040 = 2351771193237401
BaseRepresentation
bin100000001100001100001…
…001101001101011011000
321211110211220000121012002
4200030030021221223120
5242220401133422130
64412121421340132
7315551124606245
oct40141411515330
97743756017162
102212112014040
11783173620445
122b887ba07648
131307a7ca7056
14790d13ca5cc
153c81e94bb45
hex2030c269ad8

2212112014040 has 128 divisors (see below), whose sum is σ = 5371970440320. Its totient is φ = 816807936000.

The previous prime is 2212112014031. The next prime is 2212112014061. The reversal of 2212112014040 is 404102112122.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 9199340 + ... + 9436740.

It is an arithmetic number, because the mean of its divisors is an integer number (41968519065).

Almost surely, 22212112014040 is an apocalyptic number.

2212112014040 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 2212112014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685985220160).

2212112014040 is an abundant number, since it is smaller than the sum of its proper divisors (3159858426280).

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

2212112014040 is a wasteful number, since it uses less digits than its factorization.

2212112014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237693 (or 237689 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2212112014040 its reverse (404102112122), we get a palindrome (2616214126162).

The spelling of 2212112014040 in words is "two trillion, two hundred twelve billion, one hundred twelve million, fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 71 85 136 142 170 193 284 340 355 386 568 680 710 772 965 1207 1420 1544 1930 2414 2840 3281 3860 4828 6035 6562 7720 9656 12070 13124 13703 16405 24140 26248 27406 32810 48280 54812 65620 68515 109624 131240 137030 232951 237401 274060 465902 474802 548120 931804 949604 1164755 1187005 1863608 1899208 2329510 2374010 4035817 4659020 4748020 8071634 9318040 9496040 16143268 16855471 20179085 32286536 33710942 40358170 45818393 67421884 80716340 84277355 91636786 134843768 161432680 168554710 183273572 229091965 286543007 337109420 366547144 458183930 573086014 674218840 778912681 916367860 1146172028 1432715035 1557825362 1832735720 2292344056 2865430070 3115650724 3253105903 3894563405 5730860140 6231301448 6506211806 7789126810 11461720280 13012423612 15578253620 16265529515 26024847224 31156507240 32531059030 55302800351 65062118060 110605600702 130124236120 221211201404 276514001755 442422402808 553028003510 1106056007020 2212112014040