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2213362486644 = 22317199359151871
BaseRepresentation
bin100000001101010110101…
…011110100110101110100
321211121002001000012010020
4200031112223310311310
5242230431244033034
64412445451325140
7315624120501051
oct40152653646564
97747061005106
102213362486644
1178375546aa81
122b8b6a7507b0
13130947090a7a
14791ad4d8028
153c894607249
hex20356af4d74

2213362486644 has 96 divisors (see below), whose sum is σ = 5511131136000. Its totient is φ = 688969797120.

The previous prime is 2213362486637. The next prime is 2213362486651. The reversal of 2213362486644 is 4466842633122.

2213362486644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2213362486637) and next prime (2213362486651).

It is a super-2 number, since 2×22133624866442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 14498029 + ... + 14649899.

It is an arithmetic number, because the mean of its divisors is an integer number (57407616000).

Almost surely, 22213362486644 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 2213362486644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755565568000).

2213362486644 is an abundant number, since it is smaller than the sum of its proper divisors (3297768649356).

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

2213362486644 is a wasteful number, since it uses less digits than its factorization.

2213362486644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152453 (or 152451 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 51.

The spelling of 2213362486644 in words is "two trillion, two hundred thirteen billion, three hundred sixty-two million, four hundred eighty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 199 204 359 398 597 718 796 1077 1194 1436 2154 2388 3383 4308 6103 6766 10149 12206 13532 18309 20298 24412 36618 40596 71441 73236 142882 151871 214323 285764 303742 428646 455613 607484 857292 911226 1214497 1822452 2428994 2581807 3643491 4857988 5163614 7286982 7745421 10327228 14573964 15490842 30222329 30981684 54521689 60444658 90666987 109043378 120889316 163565067 181333974 218086756 327130134 362667948 513779593 654260268 926868713 1027559186 1541338779 1853737426 2055118372 2780606139 3082677558 3707474852 5561212278 6165355116 10849816111 11122424556 21699632222 32549448333 43399264444 65098896666 130197793332 184446873887 368893747774 553340621661 737787495548 1106681243322 2213362486644