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23227116672 = 273434992819
BaseRepresentation
bin10101101000011100…
…011010110010000000
32012221201220210002110
4111220130122302000
5340032120213142
614400445415320
71451406143214
oct255034326200
965851823073
1023227116672
11993a1135a1
12460286a540
13226214bc26
1411a4b2c944
1590e22399c
hex56871ac80

23227116672 has 128 divisors (see below), whose sum is σ = 63280800000. Its totient is φ = 7544484864.

The previous prime is 23227116659. The next prime is 23227116709. The reversal of 23227116672 is 27661172232.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 23227116672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8238079 + ... + 8240897.

It is an arithmetic number, because the mean of its divisors is an integer number (494381250).

Almost surely, 223227116672 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 23227116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31640400000).

23227116672 is an abundant number, since it is smaller than the sum of its proper divisors (40053683328).

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

23227116672 is a wasteful number, since it uses less digits than its factorization.

23227116672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3366 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The spelling of 23227116672 in words is "twenty-three billion, two hundred twenty-seven million, one hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 499 516 688 998 1032 1376 1497 1996 2064 2752 2819 2994 3992 4128 5504 5638 5988 7984 8256 8457 11276 11976 15968 16512 16914 21457 22552 23952 31936 33828 42914 45104 47904 63872 64371 67656 85828 90208 95808 121217 128742 135312 171656 180416 191616 242434 257484 270624 343312 360832 363651 484868 514968 541248 686624 727302 969736 1029936 1082496 1373248 1406681 1454604 1939472 2059872 2746496 2813362 2909208 3878944 4119744 4220043 5626724 5818416 7757888 8239488 8440086 11253448 11636832 15515776 16880172 22506896 23273664 33760344 45013792 46547328 60487283 67520688 90027584 120974566 135041376 180055168 181461849 241949132 270082752 362923698 483898264 540165504 725847396 967796528 1451694792 1935593056 2903389584 3871186112 5806779168 7742372224 11613558336 23227116672