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2213141334420 = 2235374327230393
BaseRepresentation
bin100000001101001001100…
…000001100100110010100
321211120111121212111022010
4200031021200030212110
5242230003140200140
64412411511304220
7315615463645302
oct40151140144624
97746447774263
102213141334420
11783651650045
122b8b0867b070
1313091030ba73
147918bdab272
153c87eec0880
hex2034980c994

2213141334420 has 96 divisors (see below), whose sum is σ = 6365775161088. Its totient is φ = 574085256192.

The previous prime is 2213141334389. The next prime is 2213141334421. The reversal of 2213141334420 is 244331413122.

It is a super-2 number, since 2×22131413344202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213141334421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9490744 + ... + 9721136.

It is an arithmetic number, because the mean of its divisors is an integer number (66310157928).

Almost surely, 22213141334420 is an apocalyptic number.

2213141334420 is a gapful number since it is divisible by the number (20) 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 2213141334420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182887580544).

2213141334420 is an abundant number, since it is smaller than the sum of its proper divisors (4152633826668).

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

2213141334420 is a wasteful number, since it uses less digits than its factorization.

2213141334420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234769 (or 234767 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 2213141334420 its reverse (244331413122), we get a palindrome (2457472747542).

The spelling of 2213141334420 in words is "two trillion, two hundred thirteen billion, one hundred forty-one million, three hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 4327 8654 12981 17308 21635 25962 43270 51924 64905 86540 129810 160099 230393 259620 320198 460786 480297 640396 691179 800495 921572 960594 1151965 1382358 1600990 1921188 2303930 2401485 2764716 3201980 3455895 4607860 4802970 6911790 8524541 9605940 13823580 17049082 25573623 34098164 42622705 51147246 85245410 102294492 127868115 170490820 255736230 511472460 996910511 1993821022 2990731533 3987642044 4984552555 5981463066 9969105110 11962926132 14953657665 19938210220 29907315330 36885688907 59814630660 73771377814 110657066721 147542755628 184428444535 221314133442 368856889070 442628266884 553285333605 737713778140 1106570667210 2213141334420