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23220403440 = 24351359126143
BaseRepresentation
bin10101101000000010…
…110011110011110000
32012221021021201021020
4111220002303303300
5340023410402230
614400045455440
71451265113133
oct255002636360
965837251236
1023220403440
119936348873
124600571580
13226093b3c0
1411a3ca221a
1590d849810
hex5680b3cf0

23220403440 has 160 divisors (see below), whose sum is σ = 78834954240. Its totient is φ = 5618869248.

The previous prime is 23220403433. The next prime is 23220403447. The reversal of 23220403440 is 4430402232.

It is an interprime number because it is at equal distance from previous prime (23220403433) and next prime (23220403447).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23220403440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23220403447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121009 + ... + 247151.

It is an arithmetic number, because the mean of its divisors is an integer number (492718464).

Almost surely, 223220403440 is an apocalyptic number.

23220403440 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 23220403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39417477120).

23220403440 is an abundant number, since it is smaller than the sum of its proper divisors (55614550800).

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

23220403440 is a wasteful number, since it uses less digits than its factorization.

23220403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126231 (or 126225 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 23220403440 its reverse (4430402232), we get a palindrome (27650805672).

The spelling of 23220403440 in words is "twenty-three billion, two hundred twenty million, four hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 59 60 65 78 80 104 118 120 130 156 177 195 208 236 240 260 295 312 354 390 472 520 590 624 708 767 780 885 944 1040 1180 1416 1534 1560 1770 2301 2360 2832 3068 3120 3540 3835 4602 4720 6136 7080 7670 9204 11505 12272 14160 15340 18408 23010 30680 36816 46020 61360 92040 126143 184080 252286 378429 504572 630715 756858 1009144 1261430 1513716 1639859 1892145 2018288 2522860 3027432 3279718 3784290 4919577 5045720 6054864 6559436 7442437 7568580 8199295 9839154 10091440 13118872 14884874 15137160 16398590 19678308 22327311 24597885 26237744 29769748 30274320 32797180 37212185 39356616 44654622 49195770 59539496 65594360 74424370 78713232 89309244 96751681 98391540 111636555 119078992 131188720 148848740 178618488 193503362 196783080 223273110 290255043 297697480 357236976 387006724 393566160 446546220 483758405 580510086 595394960 774013448 893092440 967516810 1161020172 1451275215 1548026896 1786184880 1935033620 2322040344 2902550430 3870067240 4644080688 5805100860 7740134480 11610201720 23220403440