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22121440040 = 2357231364079
BaseRepresentation
bin10100100110100010…
…100110001100101000
32010002200101120220002
4110212202212030220
5330301042040130
614055031122132
71412122065200
oct244642461450
963080346802
1022121440040
119421a81357
124354513348
1321170614bb
1410dbd53400
1589711ab45
hex5268a6328

22121440040 has 96 divisors (see below), whose sum is σ = 59767372800. Its totient is φ = 7339812480.

The previous prime is 22121440031. The next prime is 22121440069. The reversal of 22121440040 is 4004412122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22121439994 and 22121440021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121280 + ... + 242799.

It is an arithmetic number, because the mean of its divisors is an integer number (622576800).

Almost surely, 222121440040 is an apocalyptic number.

22121440040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121440040 is an abundant number, since it is smaller than the sum of its proper divisors (37645932760).

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

22121440040 is a wasteful number, since it uses less digits than its factorization.

22121440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364135 (or 364124 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22121440040 its reverse (4004412122), we get a palindrome (26125852162).

The spelling of 22121440040 in words is "twenty-two billion, one hundred twenty-one million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 49 56 62 70 98 124 140 155 196 217 245 248 280 310 392 434 490 620 868 980 1085 1240 1519 1736 1960 2170 3038 4340 6076 7595 8680 12152 15190 30380 60760 364079 728158 1456316 1820395 2548553 2912632 3640790 5097106 7281580 10194212 11286449 12742765 14563160 17839871 20388424 22572898 25485530 35679742 45145796 50971060 56432245 71359484 79005143 89199355 90291592 101942120 112864490 142718968 158010286 178398710 225728980 316020572 356797420 395025715 451457960 553036001 632041144 713594840 790051430 1106072002 1580102860 2212144004 2765180005 3160205720 4424288008 5530360010 11060720020 22121440040