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1220340440 = 2351123120587
BaseRepresentation
bin100100010111100…
…1110101011011000
310011001021201101002
41020233032223120
54444401343230
6321032044132
742145502564
oct11057165330
93131251332
101220340440
11576939920
122a0833648
13165a96847
14b81066a4
1572207545
hex48bcead8

1220340440 has 64 divisors (see below), whose sum is σ = 3125640960. Its totient is φ = 424462720.

The previous prime is 1220340419. The next prime is 1220340467. The reversal of 1220340440 is 440430221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50174 + ... + 70413.

It is an arithmetic number, because the mean of its divisors is an integer number (48838140).

Almost surely, 21220340440 is an apocalyptic number.

1220340440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220340440 is an abundant number, since it is smaller than the sum of its proper divisors (1905300520).

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

1220340440 is a wasteful number, since it uses less digits than its factorization.

1220340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120632 (or 120628 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1220340440 is about 34933.3714376383. The cubic root of 1220340440 is about 1068.6291116871.

Adding to 1220340440 its reverse (440430221), we get a palindrome (1660770661).

The spelling of 1220340440 in words is "one billion, two hundred twenty million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 120587 241174 482348 602935 964696 1205870 1326457 2411740 2652914 2773501 4823480 5305828 5547002 6632285 10611656 11094004 13264570 13867505 22188008 26529140 27735010 30508511 53058280 55470020 61017022 110940040 122034044 152542555 244068088 305085110 610170220 1220340440