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1220100232 = 231323143677
BaseRepresentation
bin100100010111001…
…0100000010001000
310011000211111212111
41020232110002020
54444321201412
6321022552104
742143452351
oct11056240210
93130744774
101220100232
115767953aa
122a0738634
13165a11400
14b8082d28
15721ab2a7
hex48b94088

1220100232 has 96 divisors (see below), whose sum is σ = 2620442880. Its totient is φ = 531498240.

The previous prime is 1220100221. The next prime is 1220100269. The reversal of 1220100232 is 2320010221.

It is a super-2 number, since 2×12201002322 = 2977289152252907648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 1801878 + ... + 1802554.

It is an arithmetic number, because the mean of its divisors is an integer number (27296280).

Almost surely, 21220100232 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 1220100232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310221440).

1220100232 is an abundant number, since it is smaller than the sum of its proper divisors (1400342648).

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

1220100232 is a wasteful number, since it uses less digits than its factorization.

1220100232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1220100232 is about 34929.9331805831. The cubic root of 1220100232 is about 1068.5589918808.

Adding to 1220100232 its reverse (2320010221), we get a palindrome (3540110453).

The spelling of 1220100232 in words is "one billion, two hundred twenty million, one hundred thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 31 43 52 62 86 104 124 169 172 248 338 344 403 559 676 677 806 1118 1333 1352 1354 1612 2236 2666 2708 3224 4472 5239 5332 5416 7267 8801 10478 10664 14534 17329 17602 20956 20987 29068 29111 34658 35204 41912 41974 58136 58222 69316 70408 83948 114413 116444 138632 167896 225277 228826 232888 272831 378443 450554 457652 545662 756886 901108 902441 915304 1091324 1513772 1802216 1804882 2182648 3027544 3546803 3609764 4919759 7093606 7219528 9839518 11731733 14187212 19679036 23463466 28374424 39358072 46926932 93853864 152512529 305025058 610050116 1220100232