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2240534551220 = 2257223115162351
BaseRepresentation
bin100000100110101010010…
…001000001101010110100
321221012012201001002101022
4200212222101001222310
5243202103321114340
64433142023120312
7320605351312160
oct40465221015264
97835181032338
102240534551220
11794229386299
123022925a3098
131333875c75a4
147a62a129ca0
153d434d293b5
hex209aa441ab4

2240534551220 has 96 divisors (see below), whose sum is σ = 5406175789056. Its totient is φ = 764061840000.

The previous prime is 2240534551201. The next prime is 2240534551237. The reversal of 2240534551220 is 221554350422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35903045 + ... + 35965395.

It is an arithmetic number, because the mean of its divisors is an integer number (56314331136).

Almost surely, 22240534551220 is an apocalyptic number.

2240534551220 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 2240534551220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703087894528).

2240534551220 is an abundant number, since it is smaller than the sum of its proper divisors (3165641237836).

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

2240534551220 is a wasteful number, since it uses less digits than its factorization.

2240534551220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63741 (or 63739 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 2240534551220 in words is "two trillion, two hundred forty billion, five hundred thirty-four million, five hundred fifty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 223 446 892 1115 1151 1561 2230 2302 3122 4460 4604 5755 6244 7805 8057 11510 15610 16114 23020 31220 32228 40285 62351 80570 124702 161140 249404 256673 311755 436457 513346 623510 872914 1026692 1247020 1283365 1745828 1796711 2182285 2566730 3593422 4364570 5133460 7186844 8729140 8983555 13904273 17967110 27808546 35934220 55617092 69521365 71766001 97329911 139042730 143532002 194659822 278085460 287064004 358830005 389319644 486649555 502362007 717660010 973299110 1004724014 1435320020 1946598220 2009448028 2511810035 5023620070 10047240140 16003818223 32007636446 64015272892 80019091115 112026727561 160038182230 224053455122 320076364460 448106910244 560133637805 1120267275610 2240534551220