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22213013223000 = 2335313735392817
BaseRepresentation
bin1010000110011110111101…
…10000110011011001011000
32220122112200002021021010110
411003033132300303121120
510402414222341114000
6115124303431444320
74451560114033425
oct503173660633130
986575602237113
1022213013223000
117094538966076
1225a90452266a0
13c518a7bb8812
1456b1891dad4c
15287c2899c850
hex1433dec33658

22213013223000 has 128 divisors (see below), whose sum is σ = 69355090883520. Its totient is φ = 5919154841600.

The previous prime is 22213013222987. The next prime is 22213013223013. The reversal of 22213013223000 is 32231031222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22213013222987) and next prime (22213013223013).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1422592 + ... + 6815408.

Almost surely, 222213013223000 is an apocalyptic number.

22213013223000 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 22213013223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34677545441760).

22213013223000 is an abundant number, since it is smaller than the sum of its proper divisors (47142077660520).

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

22213013223000 is a wasteful number, since it uses less digits than its factorization.

22213013223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5394214 (or 5394200 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 22213013223000 its reverse (32231031222), we get a palindrome (22245244254222).

The spelling of 22213013223000 in words is "twenty-two trillion, two hundred thirteen billion, thirteen million, two hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1373 1500 2746 3000 4119 5492 6865 8238 10984 13730 16476 20595 27460 32952 34325 41190 54920 68650 82380 102975 137300 164760 171625 205950 274600 343250 411900 514875 686500 823800 1029750 1373000 2059500 4119000 5392817 10785634 16178451 21571268 26964085 32356902 43142536 53928170 64713804 80892255 107856340 129427608 134820425 161784510 215712680 269640850 323569020 404461275 539281700 647138040 674102125 808922550 1078563400 1348204250 1617845100 2022306375 2696408500 3235690200 4044612750 5392817000 7404337741 8089225500 14808675482 16178451000 22213013223 29617350964 37021688705 44426026446 59234701928 74043377410 88852052892 111065066115 148086754820 177704105784 185108443525 222130132230 296173509640 370216887050 444260264460 555325330575 740433774100 888520528920 925542217625 1110650661150 1480867548200 1851084435250 2221301322300 2776626652875 3702168870500 4442602644600 5553253305750 7404337741000 11106506611500 22213013223000