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10226815040 = 265132458369
BaseRepresentation
bin10011000011001000…
…01101000001000000
3222101201120000212102
421201210031001000
5131421031040130
64410444045532
7511300331201
oct114144150100
928351500772
1010226815040
114378852562
121b94b338a8
13c6c9a2b60
146d03255a8
153ecc62645
hex26190d040

10226815040 has 56 divisors (see below), whose sum is σ = 26225891160. Its totient is φ = 3776053248.

The previous prime is 10226815009. The next prime is 10226815043. The reversal of 10226815040 is 4051862201.

It can be written as a sum of positive squares in 4 ways, for example, as 632220736 + 9594594304 = 25144^2 + 97952^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10226814994 and 10226815012.

It is not an unprimeable number, because it can be changed into a prime (10226815043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1225025 + ... + 1233344.

It is an arithmetic number, because the mean of its divisors is an integer number (468319485).

Almost surely, 210226815040 is an apocalyptic number.

10226815040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10226815040 is an abundant number, since it is smaller than the sum of its proper divisors (15999076120).

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

10226815040 is a wasteful number, since it uses less digits than its factorization.

10226815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458399 (or 2458389 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 10226815040 in words is "ten billion, two hundred twenty-six million, eight hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 2458369 4916738 9833476 12291845 19666952 24583690 31958797 39333904 49167380 63917594 78667808 98334760 127835188 157335616 159793985 196669520 255670376 319587970 393339040 511340752 639175940 786678080 1022681504 1278351880 2045363008 2556703760 5113407520 10226815040