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55220640 = 2535293967
BaseRepresentation
bin1101001010100…
…1100110100000
310211220111110220
43102221212200
5103114030030
65251323040
71240240056
oct322514640
9124814426
1055220640
11291970a2
12165b0480
13b595747
1474961d6
154caba10
hex34a99a0

55220640 has 96 divisors (see below), whose sum is σ = 179988480. Its totient is φ = 14214144.

The previous prime is 55220623. The next prime is 55220657. The reversal of 55220640 is 4602255.

It is an interprime number because it is at equal distance from previous prime (55220623) and next prime (55220657).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 55220640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11937 + ... + 15903.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 255220640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55220640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

55220640 is an abundant number, since it is smaller than the sum of its proper divisors (124767840).

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

55220640 is a wasteful number, since it uses less digits than its factorization.

55220640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 55220640 is about 7431.0591438906. The cubic root of 55220640 is about 380.8031029806.

Adding to 55220640 its reverse (4602255), we get a palindrome (59822895).

The spelling of 55220640 in words is "fifty-five million, two hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 3967 4640 6960 7934 11901 13920 15868 19835 23802 31736 39670 47604 59505 63472 79340 95208 115043 119010 126944 158680 190416 230086 238020 317360 345129 380832 460172 476040 575215 634720 690258 920344 952080 1150430 1380516 1725645 1840688 1904160 2300860 2761032 3451290 3681376 4601720 5522064 6902580 9203440 11044128 13805160 18406880 27610320 55220640