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2123151222224 = 243159479315137
BaseRepresentation
bin11110111001010101101…
…011001010010111010000
321111222020001121010200202
4132321111223022113100
5234241203203102344
64303210123034332
7306251444423204
oct36712553122720
97458201533622
102123151222224
1174947257289a
122a359306b9a8
1312529b56c276
1474a92524b04
153a36494894e
hex1ee55aca5d0

2123151222224 has 80 divisors (see below), whose sum is σ = 4319459965440. Its totient is φ = 1009641431040.

The previous prime is 2123151222221. The next prime is 2123151222229. The reversal of 2123151222224 is 4222221513212.

It is a super-2 number, since 2×21231512222242 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123151222221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140254784 + ... + 140269920.

It is an arithmetic number, because the mean of its divisors is an integer number (53993249568).

Almost surely, 22123151222224 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 2123151222224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159729982720).

2123151222224 is an abundant number, since it is smaller than the sum of its proper divisors (2196308743216).

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

2123151222224 is a wasteful number, since it uses less digits than its factorization.

2123151222224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20028 (or 20022 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

Adding to 2123151222224 its reverse (4222221513212), we get a palindrome (6345372735436).

The spelling of 2123151222224 in words is "two trillion, one hundred twenty-three billion, one hundred fifty-one million, two hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 59 62 118 124 236 248 472 496 944 1829 3658 4793 7316 9586 14632 15137 19172 29264 30274 38344 60548 76688 121096 148583 242192 282787 297166 469247 565574 594332 893083 938494 1131148 1188664 1786166 1876988 2262296 2377328 3572332 3753976 4524592 7144664 7507952 8766397 14289328 17532794 27685573 35065588 55371146 70131176 72551641 110742292 140262352 145103282 221484584 290206564 442969168 580413128 1160826256 2249100871 4280546819 4498201742 8561093638 8996403484 17122187276 17992806968 34244374552 35985613936 68488749104 132696951389 265393902778 530787805556 1061575611112 2123151222224