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10223000040 = 23351176110177
BaseRepresentation
bin10011000010101011…
…01001100111101000
3222101110101012200010
421201111221213220
5131414042000130
64410230211520
7511223031561
oct114125514750
928343335603
1010223000040
114376687270
121b937b3ba0
13c6bc68566
146cda11168
153ec75c0b0
hex2615699e8

10223000040 has 128 divisors (see below), whose sum is σ = 33504347520. Its totient is φ = 2474803200.

The previous prime is 10223000009. The next prime is 10223000069. The reversal of 10223000040 is 4000032201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 999432 + ... + 1009608.

It is an arithmetic number, because the mean of its divisors is an integer number (261752715).

Almost surely, 210223000040 is an apocalyptic number.

10223000040 is a gapful number since it is divisible by the number (10) 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 10223000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16752173760).

10223000040 is an abundant number, since it is smaller than the sum of its proper divisors (23281347480).

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

10223000040 is a wasteful number, since it uses less digits than its factorization.

10223000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10963 (or 10959 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10223000040 its reverse (4000032201), we get a palindrome (14223032241).

The spelling of 10223000040 in words is "ten billion, two hundred twenty-three million, forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 761 1320 1522 2283 3044 3805 4566 6088 7610 8371 9132 10177 11415 15220 16742 18264 20354 22830 25113 30440 30531 33484 40708 41855 45660 50226 50885 61062 66968 81416 83710 91320 100452 101770 111947 122124 125565 152655 167420 200904 203540 223894 244248 251130 305310 334840 335841 407080 447788 502260 559735 610620 671682 895576 1004520 1119470 1221240 1343364 1679205 2238940 2686728 3358410 4477880 6716820 7744697 13433640 15489394 23234091 30978788 38723485 46468182 61957576 77446970 85191667 92936364 116170455 154893940 170383334 185872728 232340910 255575001 309787880 340766668 425958335 464681820 511150002 681533336 851916670 929363640 1022300004 1277875005 1703833340 2044600008 2555750010 3407666680 5111500020 10223000040