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22021404340 = 22513149568441
BaseRepresentation
bin10100100000100100…
…111111011010110100
32002211201011020201011
4110200210333122310
5330044434414330
614041055042004
71406465564005
oct244044773264
962751136634
1022021404340
119380566021
124326b10304
1320cc407690
1410cc9531ac
1588d45a82a
hex52093f6b4

22021404340 has 48 divisors (see below), whose sum is σ = 50136584400. Its totient is φ = 8076395520.

The previous prime is 22021404337. The next prime is 22021404371. The reversal of 22021404340 is 4340412022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9071419536 + 12949984804 = 95244^2 + 113798^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245481 + ... + 322960.

It is an arithmetic number, because the mean of its divisors is an integer number (1044512175).

Almost surely, 222021404340 is an apocalyptic number.

22021404340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22021404340 is an abundant number, since it is smaller than the sum of its proper divisors (28115180060).

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

22021404340 is a wasteful number, since it uses less digits than its factorization.

22021404340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568612 (or 568610 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 22021404340 its reverse (4340412022), we get a palindrome (26361816362).

The spelling of 22021404340 in words is "twenty-two billion, twenty-one million, four hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 149 260 298 596 745 1490 1937 2980 3874 7748 9685 19370 38740 568441 1136882 2273764 2842205 5684410 7389733 11368820 14779466 29558932 36948665 73897330 84697709 147794660 169395418 338790836 423488545 846977090 1101070217 1693954180 2202140434 4404280868 5505351085 11010702170 22021404340