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661225140 = 223354726053
BaseRepresentation
bin100111011010010…
…111111010110100
31201002012201101000
4213122113322310
52323233201030
6145340203300
722246215042
oct4732277264
91632181330
10661225140
1130a276264
12165539530
13a6cb43a4
1463b63392
153d0b3860
hex27697eb4

661225140 has 96 divisors (see below), whose sum is σ = 2100994560. Its totient is φ = 172568448.

The previous prime is 661225111. The next prime is 661225151. The reversal of 661225140 is 41522166.

661225140 is a `hidden beast` number, since 6 + 612 + 2 + 5 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 12354 + ... + 38406.

It is an arithmetic number, because the mean of its divisors is an integer number (21885360).

Almost surely, 2661225140 is an apocalyptic number.

661225140 is a gapful number since it is divisible by the number (60) 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 661225140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050497280).

661225140 is an abundant number, since it is smaller than the sum of its proper divisors (1439769420).

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

661225140 is a wasteful number, since it uses less digits than its factorization.

661225140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26118 (or 26110 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 661225140 is about 25714.2983571397. The cubic root of 661225140 is about 871.1971628288.

The spelling of 661225140 in words is "six hundred sixty-one million, two hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1692 2115 2538 2820 4230 5076 6345 8460 12690 25380 26053 52106 78159 104212 130265 156318 234477 260530 312636 390795 468954 521060 703431 781590 937908 1172385 1224491 1406862 1563180 2344770 2448982 2813724 3517155 3673473 4689540 4897964 6122455 7034310 7346946 11020419 12244910 14068620 14693892 18367365 22040838 24489820 33061257 36734730 44081676 55102095 66122514 73469460 110204190 132245028 165306285 220408380 330612570 661225140