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2042226264 = 2331343115187
BaseRepresentation
bin111100110111001…
…1110011001011000
312021022210211202210
41321232132121120
513140302220024
6534351555120
7101415431301
oct17156363130
95238724683
102042226264
11958868901
1248bb2baa0
13267140310
1415532b7a8
15be454129
hex79b9e658

2042226264 has 64 divisors (see below), whose sum is σ = 5511421440. Its totient is φ = 626878080.

The previous prime is 2042226253. The next prime is 2042226311. The reversal of 2042226264 is 4626222402.

It is a super-2 number, since 2×20422262642 = 8341376226742795392, which contains 22 as substring.

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, 126879 + ... + 142065.

It is an arithmetic number, because the mean of its divisors is an integer number (86115960).

Almost surely, 22042226264 is an apocalyptic number.

2042226264 is a gapful number since it is divisible by the number (24) 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 2042226264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755710720).

2042226264 is an abundant number, since it is smaller than the sum of its proper divisors (3469195176).

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

2042226264 is a wasteful number, since it uses less digits than its factorization.

2042226264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15640 (or 15636 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 2042226264 is about 45190.9975990794. The cubic root of 2042226264 is about 1268.7263284218.

Adding to 2042226264 its reverse (4626222402), we get a palindrome (6668448666).

The spelling of 2042226264 in words is "two billion, forty-two million, two hundred twenty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 431 862 1293 1724 2586 3448 5172 5603 10344 11206 15187 16809 22412 30374 33618 44824 45561 60748 67236 91122 121496 134472 182244 197431 364488 394862 592293 789724 1184586 1579448 2369172 4738344 6545597 13091194 19636791 26182388 39273582 52364776 78547164 85092761 157094328 170185522 255278283 340371044 510556566 680742088 1021113132 2042226264