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21223545354 = 23211717320681
BaseRepresentation
bin10011110001000001…
…011001101000001010
32000210002211210221100
4103301001121220022
5321431211422404
613425554122230
71350640105344
oct236101315012
960702753840
1021223545354
119001157830
124143880376
13200302417b
1410549c4294
158433a7d39
hex4f1059a0a

21223545354 has 96 divisors (see below), whose sum is σ = 51570649728. Its totient is φ = 6253632000.

The previous prime is 21223545349. The next prime is 21223545379. The reversal of 21223545354 is 45354532212.

21223545354 is a `hidden beast` number, since 2 + 122 + 35 + 453 + 54 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1015894 + ... + 1036574.

It is an arithmetic number, because the mean of its divisors is an integer number (537194268).

Almost surely, 221223545354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21223545354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25785324864).

21223545354 is an abundant number, since it is smaller than the sum of its proper divisors (30347104374).

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

21223545354 is a wasteful number, since it uses less digits than its factorization.

21223545354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20844 (or 20841 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The spelling of 21223545354 in words is "twenty-one billion, two hundred twenty-three million, five hundred forty-five thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 73 99 142 146 198 213 219 426 438 639 657 781 803 1278 1314 1562 1606 2343 2409 4686 4818 5183 7029 7227 10366 14058 14454 15549 20681 31098 41362 46647 57013 62043 93294 114026 124086 171039 186129 227491 342078 372258 454982 513117 682473 1026234 1364946 1468351 1509713 2047419 2936702 3019426 4094838 4405053 4529139 8810106 9058278 13215159 13587417 16151861 16606843 26430318 27174834 32303722 33213686 48455583 49820529 96911166 99641058 107189623 145366749 149461587 214379246 290733498 298923174 321568869 643137738 964706607 1179085853 1929413214 2358171706 3537257559 7074515118 10611772677 21223545354