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10223023040 = 265377112161
BaseRepresentation
bin10011000010101011…
…01111001111000000
3222101110102101012222
421201111233033000
5131414043214130
64410230510212
7511223155616
oct114125571700
928343371188
1010223023040
1143766a257a
121b93805368
13c6bc75b79
146cda196b6
153ec763ce5
hex26156f3c0

10223023040 has 112 divisors (see below), whose sum is σ = 25355726784. Its totient is φ = 3922329600.

The previous prime is 10223023039. The next prime is 10223023061. The reversal of 10223023040 is 4032032201.

It is a congruent number.

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, 834560 + ... + 846720.

Almost surely, 210223023040 is an apocalyptic number.

10223023040 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 10223023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12677863392).

10223023040 is an abundant number, since it is smaller than the sum of its proper divisors (15132703744).

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

10223023040 is a wasteful number, since it uses less digits than its factorization.

10223023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12286 (or 12276 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 10223023040 its reverse (4032032201), we get a palindrome (14255055241).

The spelling of 10223023040 in words is "ten billion, two hundred twenty-three million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 71 74 80 142 148 160 185 284 296 320 355 370 568 592 710 740 1136 1184 1420 1480 2272 2368 2627 2840 2960 4544 5254 5680 5920 10508 11360 11840 12161 13135 21016 22720 24322 26270 42032 48644 52540 60805 84064 97288 105080 121610 168128 194576 210160 243220 389152 420320 449957 486440 778304 840640 863431 899914 972880 1726862 1799828 1945760 2249785 3453724 3599656 3891520 4317155 4499570 6907448 7199312 8634310 8999140 13814896 14398624 17268620 17998280 27629792 28797248 31946947 34537240 35996560 55259584 63893894 69074480 71993120 127787788 138148960 143986240 159734735 255575576 276297920 319469470 511151152 638938940 1022302304 1277877880 2044604608 2555755760 5111511520 10223023040