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10214022262260 = 2235979411865023
BaseRepresentation
bin1001010010100010001100…
…1010110010110111110100
31100011110011202212122222110
42110220203022302313310
52314321304144343020
633420131304531020
72102636664510345
oct224504312626764
940143152778873
1010214022262260
113288819319413
12118b667480a70
1359124157c5ab
1427450b6400cc
1512aa544468e0
hex94a232b2df4

10214022262260 has 96 divisors (see below), whose sum is σ = 28924821338112. Its totient is φ = 2692793364480.

The previous prime is 10214022262259. The next prime is 10214022262261. The reversal of 10214022262260 is 6226222041201.

It is an interprime number because it is at equal distance from previous prime (10214022262259) and next prime (10214022262261).

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 (10214022262261) 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, 4544109 + ... + 6409131.

It is an arithmetic number, because the mean of its divisors is an integer number (301300222272).

Almost surely, 210214022262260 is an apocalyptic number.

10214022262260 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 10214022262260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14462410669056).

10214022262260 is an abundant number, since it is smaller than the sum of its proper divisors (18710799075852).

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

10214022262260 is a wasteful number, since it uses less digits than its factorization.

10214022262260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866073 (or 1866071 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 10214022262260 in words is "ten trillion, two hundred fourteen billion, twenty-two million, two hundred sixty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 941 970 1164 1455 1882 1940 2823 2910 3764 4705 5646 5820 9410 11292 14115 18820 28230 56460 91277 182554 273831 365108 456385 547662 912770 1095324 1369155 1825540 1865023 2738310 3730046 5476620 5595069 7460092 9325115 11190138 18650230 22380276 27975345 37300460 55950690 111901380 180907231 361814462 542721693 723628924 904536155 1085443386 1754986643 1809072310 2170886772 2713608465 3509973286 3618144620 5264959929 5427216930 7019946572 8774933215 10529919858 10854433860 17549866430 21059839716 26324799645 35099732860 52649599290 105299198580 170233704371 340467408742 510701113113 680934817484 851168521855 1021402226226 1702337043710 2042804452452 2553505565565 3404674087420 5107011131130 10214022262260