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2216251692108 = 223331246212
BaseRepresentation
bin100000010000000010111…
…001010001010001001100
321211212112101120000221000
4200100002321101101030
5242302340413121413
64414044301140300
7316055532362436
oct40200271212114
97755471500830
102216251692108
117849a8336893
122b963625a690
13130cb78223bc
14793a50dd656
153c9b30b3073
hex20402e5144c

2216251692108 has 108 divisors (see below), whose sum is σ = 5938451444520. Its totient is φ = 714765189600.

The previous prime is 2216251692107. The next prime is 2216251692131. The reversal of 2216251692108 is 8012961526122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2216251692108 is a `hidden beast` number, since 2 + 2 + 1 + 625 + 1 + 6 + 9 + 2 + 10 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is not an unprimeable number, because it can be changed into a prime (2216251692107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 479602038 + ... + 479606658.

Almost surely, 22216251692108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2216251692108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969225722260).

2216251692108 is an abundant number, since it is smaller than the sum of its proper divisors (3722199752412).

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

2216251692108 is an frugal number, since it uses more digits than its factorization.

2216251692108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9317 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 2216251692108 in words is "two trillion, two hundred sixteen billion, two hundred fifty-one million, six hundred ninety-two thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 961 1116 1674 1922 2883 3348 3844 4621 5766 8649 9242 11532 13863 17298 18484 25947 27726 34596 41589 51894 55452 83178 103788 124767 143251 166356 249534 286502 429753 499068 573004 859506 1289259 1719012 2578518 3867777 4440781 5157036 7735554 8881562 13322343 15471108 17763124 21353641 26644686 39967029 42707282 53289372 64060923 79934058 85414564 119901087 128121846 159868116 192182769 239802174 256243692 384365538 479604348 576548307 661962871 768731076 1153096614 1323925742 1985888613 2306193228 2647851484 3971777226 5957665839 7943554452 11915331678 17872997517 20520849001 23830663356 35745995034 41041698002 61562547003 71491990068 82083396004 123125094006 184687641009 246250188012 369375282018 554062923027 738750564036 1108125846054 2216251692108