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1220155144 = 2313171016833
BaseRepresentation
bin100100010111010…
…0001011100001000
310011000221022012021
41020232201130020
54444324431034
6321024054224
742144101425
oct11056413410
93130838167
101220155144
1157682268a
122a0764374
13165a303c0
14b8098d4c
15721bc6b4
hex48ba1708

1220155144 has 64 divisors (see below), whose sum is σ = 2634917040. Its totient is φ = 524697600.

The previous prime is 1220155141. The next prime is 1220155159. The reversal of 1220155144 is 4415510221.

It can be written as a sum of positive squares in 8 ways, for example, as 650760100 + 569395044 = 25510^2 + 23862^2 .

It is not an unprimeable number, because it can be changed into a prime (1220155141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175152 + ... + 181984.

Almost surely, 21220155144 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 1220155144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317458520).

1220155144 is an abundant number, since it is smaller than the sum of its proper divisors (1414761896).

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

1220155144 is a wasteful number, since it uses less digits than its factorization.

1220155144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6970 (or 6966 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 1220155144 is about 34930.7192024441. The cubic root of 1220155144 is about 1068.5750222117.

Adding to 1220155144 its reverse (4415510221), we get a palindrome (5635665365).

The spelling of 1220155144 in words is "one billion, two hundred twenty million, one hundred fifty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 101 104 136 202 221 404 442 808 884 1313 1717 1768 2626 3434 5252 6833 6868 10504 13666 13736 22321 27332 44642 54664 88829 89284 116161 177658 178568 232322 355316 464644 690133 710632 929288 1380266 1510093 2760532 3020186 5521064 6040372 8971729 11732261 12080744 17943458 23464522 35886916 46929044 71773832 93858088 152519393 305038786 610077572 1220155144