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149620224 = 2931359127
BaseRepresentation
bin10001110101100…
…00011000000000
3101102112111100210
420322300120000
5301300321344
622502514120
73464515365
oct1072603000
9342474323
10149620224
1177502986
1242135940
1324cc80a0
1415c2a46c
15d206db9
hex8eb0600

149620224 has 160 divisors (see below), whose sum is σ = 439971840. Its totient is φ = 44900352.

The previous prime is 149620201. The next prime is 149620243. The reversal of 149620224 is 422026941.

It is a super-2 number, since 2×1496202242 = 44772422859620352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 149620191 and 149620200.

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, 1178049 + ... + 1178175.

It is an arithmetic number, because the mean of its divisors is an integer number (2749824).

Almost surely, 2149620224 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 149620224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219985920).

149620224 is an abundant number, since it is smaller than the sum of its proper divisors (290351616).

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

149620224 is a wasteful number, since it uses less digits than its factorization.

149620224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 149620224 is about 12231.9345976015. The cubic root of 149620224 is about 530.8804920423.

The spelling of 149620224 in words is "one hundred forty-nine million, six hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 59 64 78 96 104 118 127 128 156 177 192 208 236 254 256 312 354 381 384 416 472 508 512 624 708 762 767 768 832 944 1016 1248 1416 1524 1534 1536 1651 1664 1888 2032 2301 2496 2832 3048 3068 3302 3328 3776 4064 4602 4953 4992 5664 6096 6136 6604 6656 7493 7552 8128 9204 9906 9984 11328 12192 12272 13208 14986 15104 16256 18408 19812 19968 22479 22656 24384 24544 26416 29972 30208 32512 36816 39624 44958 45312 48768 49088 52832 59944 65024 73632 79248 89916 90624 97409 97536 98176 105664 119888 147264 158496 179832 194818 195072 196352 211328 239776 292227 294528 316992 359664 389636 392704 422656 479552 584454 589056 633984 719328 779272 845312 959104 1168908 1178112 1267968 1438656 1558544 1918208 2337816 2535936 2877312 3117088 3836416 4675632 5754624 6234176 9351264 11509248 12468352 18702528 24936704 37405056 49873408 74810112 149620224