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23300669440 = 218529613
BaseRepresentation
bin10101101100110101…
…000000000000000000
32020010212022122112001
4111230311000000000
5340204432410230
614412034113344
71453261264606
oct255465000000
966125278461
1023300669440
119977690904
12462341b854
132274462889
1411b07d7876
159159020ca
hex56cd40000

23300669440 has 152 divisors (see below), whose sum is σ = 57944199240. Its totient is φ = 8984199168.

The previous prime is 23300669383. The next prime is 23300669473. The reversal of 23300669440 is 4496600332.

It can be written as a sum of positive squares in 4 ways, for example, as 21233664 + 23279435776 = 4608^2 + 152576^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23300669440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38010574 + ... + 38011186.

Almost surely, 223300669440 is an apocalyptic number.

23300669440 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 23300669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28972099620).

23300669440 is an abundant number, since it is smaller than the sum of its proper divisors (34643529800).

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

23300669440 is an frugal number, since it uses more digits than its factorization.

23300669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 37.

The spelling of 23300669440 in words is "twenty-three billion, three hundred million, six hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 512 580 613 640 928 1024 1160 1226 1280 1856 2048 2320 2452 2560 3065 3712 4096 4640 4904 5120 6130 7424 8192 9280 9808 10240 12260 14848 16384 17777 18560 19616 20480 24520 29696 32768 35554 37120 39232 40960 49040 59392 65536 71108 74240 78464 81920 88885 98080 118784 131072 142216 148480 156928 163840 177770 196160 237568 262144 284432 296960 313856 327680 355540 392320 475136 568864 593920 627712 655360 711080 784640 950272 1137728 1187840 1255424 1310720 1422160 1569280 1900544 2275456 2375680 2510848 2844320 3138560 3801088 4550912 4751360 5021696 5688640 6277120 7602176 9101824 9502720 10043392 11377280 12554240 18203648 19005440 20086784 22754560 25108480 36407296 38010880 40173568 45509120 50216960 72814592 80347136 91018240 100433920 145629184 160694272 182036480 200867840 291258368 364072960 401735680 582516736 728145920 803471360 1165033472 1456291840 2330066944 2912583680 4660133888 5825167360 11650334720 23300669440